SUPER SIMPLE FIX:
1. Upload a dummy file (pdf, jpg, mp4, whatever file type you want) using the WordPress Media uploader, just make sure this dummy file has the exact same name a the file that is bigger than your max upload size.
2. Once the dummy file is successfully in the system, ftp to your uploads folder, find the subfolder containing the dummy, and transfer the real file with your ftp software, overwriting the existing dummy file.
Viola!! I just did this with a 52MB pdf and it worked like a charm!
Peace!