My recommendation is to not use a PHP script (PHPMyAdmin) to create or import databases; instead use MySQL from the command line (as utilizng the webserver to import/export you'll be at the mercy of the max size limits)
Commands:
MySQL Export: mysqldump -uuser -ppass database_name > dump_name.sql
MySQL Import: mysql -h localhost -uuser -ppass database_name < dump_name.sql