LunarEngineer opened a new issue, #35620:
URL: https://github.com/apache/arrow/issues/35620

   ### Describe the bug, including details regarding any error messages, 
version, and platform.
   
   When I try to add the integer (here it is INT32) values 3529900000 and 63409 
(expected result 3529963409) I get 6340935000. I was converting them to float 
for the addition when I discovered the oddity. There's no need to convert them 
to float, so removing that fixes this specific issue from our POV, but the fact 
that float addition is returning potentially incorrect values is potentially 
concerning.
   
   I am using PyArrow 11.0.0, but I have validated that I experience the same 
issue in PyArrow 12.0.0.
   
   I am using this platform:
   ```sh
   PRETTY_NAME="Debian GNU/Linux 11 (bullseye)"
   NAME="Debian GNU/Linux"
   VERSION_ID="11"
   VERSION="11 (bullseye)"
   VERSION_CODENAME=bullseye
   ID=debian
   HOME_URL="https://www.debian.org/";
   SUPPORT_URL="https://www.debian.org/support";
   BUG_REPORT_URL="https://bugs.debian.org/";
   ```
   
   Please let me know if there is any additional troubleshooting you wish me to 
do.
   
   Simple code to reproduce:
   
   ```python
   def test_minimal_viable():
       import pyarrow as pa
       import pyarrow.compute as pc
       first = pa.chunked_array(pa.array([63409]))
       last  = pa.chunked_array(pa.array([35299]))
       intsum = pc.add(
           pc.multiply(first.cast('int32'), pa.scalar(100000)), 
last.cast('int32')
       )
       floatsum = pc.add(
           pc.multiply(first.cast('float'), pa.scalar(100000)), 
last.cast('float')
       )
       raise Exception(f"""PyArrow Float Addition Error
       I am attempting to add {pc.multiply(first,100000)} and {last}.
       When I convert them to integer they yield: {intsum}
       When I convert them to float they yield: {floatsum}
       """)
   ```
   
   This yields:
   
   E       Exception: PyArrow Float Addition Error
   E       
   E           I am attempting to add [
   E         [
   E           6340900000
   E         ]
   E       ] and [
   E         [
   E           35299
   E         ]
   E       ].
   E       
   E           When I convert them to integer they yield: [
   E         [
   E           6340935299
   E         ]
   E       ]
   E       
   E           When I convert them to float they yield: [
   E         [
   E           6340935000
   E         ]
   E       ]
   
   ### Component(s)
   
   Python


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