By default you get a 2mb limit of upload / import size in phpmyadmin. That makes it odd and highly impossible to import larger files. You can increase the allowed upload size of phpmyadmin by editing your server’s php.ini configuration file. Usually in servers like CentOs it is located at /etc/php.ini.
Step 1: Go to php.ini and find the following and change their values to something more higher than your database size. (In this example i have used 20mb).
upload_max_filesize = 20M
post_max_size = 20M
Step2 : Restart your apache service for this new change to take effect. Usually the command to restart apache would be
service httpd restart (CentOs) / service apache2 restart (ubuntu)
You can also restart directly from their path like
/etc/init.d/apache2 restart or /etc/init.d/httpd restart
If you are in a shared hosting and do not have root access or access to your php.ini configuration file, then the other way is to create a .htaccess file in your application root and add the following line
php_value upload_max_filesize 10M
php_value post_max_size 10M
If you were still not able to increase it, please send me an email for more detailed assistance.