Think very carefully about what it means that you keep seeing this topic around here.
It generally means that people don't pay attention to what they're doing and often aren't very organized. When FCP is first installed on a system, the user has to enter the serial number. So, IF the user did that, they would surely know where the serial numbers are located (it's pretty hard to miss).
While this doesn't help your situation now, consider taking a more proactive role in the future. Keep all serial numbers in a database, spreadsheet or text file along with the corresponding software title and version. Keep a backup copy of that document in an off-site location (iDisk or other remote server, on a disc in a safe deposit box, etc). In case of the need to reinstall due to fire, theft, or for any other reason, all your software serial numbers will be available to you.
Those two little stickers appear in the wrong place.
They appear where they've always have since the original version of FCP (and many other Apple software titles).
-DH