I just had the problem of installing a database that was 16MB into PHPMyAdmin. The easiest way to fix this was to add an upload directory to PHPMyAdmin.

Steps to do this:

  1. Go to your PHPMyAdmin folder (under apps if using WAMP) and create an upload directory.
  2. Under the PHPMyAdmin folder open config.inc.php and change the variable $cfg['UploadDir'] = ''; to $cfg['UploadDir'] = 'upload';
  3. Copy the database sql file into the upload directory.
  4. Create a new database and go to import.
  5. There will be a new dropdown box next to web server upload directory. There you can select the file you want to import.
  6. Hit go!

Now the file that you wanted to import will be in the database.