Hopsin444 Saved Me and My Phone.
Its the charging port! I've had the same problem twice I guerente it!
Sent from my sgh-i527 with xda premium 4
HOPSIN-KAT KEYBOARDS IS NOW UP AND RUNNING CHECK EM OUT OVER AT THE CANDY SHOP!
http://xdaforums.com/showthread.php?p=52221912
Okay, so I just this moment joined the forum JUST so I could thank Member hopsin444 for this advice. Just as he guaranteed, it was the charging port. After getting his advice, I downloaded the PDF User Manual for the Galaxy Mega (my phone). I did what another member suggested and unplugged the battery for 10 minutes (just to be safe). I plugged it back in, and used the brand new charger and cable that came with my phone. I had been using a different charger, so I wanted to get a brand new clean start. Sure enough, the battery started charging immediately, good as new. I must say that in order for this method to work, you must insure that all components are in working order: battery, charger, and cable connectors. Because, otherwise, it's hard to debug exactly which little part is the culprit for the problem.
Once again, thank you ever so much hospsin444. You saved me a lot of cash, trips to the repair shop, and untold headaches.`
Update: The phone charge from 66% to 70% and then stopped charging again. I'm thinking it's the little slot -- on the phone itself -- that the charger cable plugs into that is the problem. My only option now is to take the phone to get repaired. But my thanks to hopsin still applies. It was fun while it lasted.