Hello I am trying to use
They don't have to match.
The development of the library and the application is not completely dependant, that's why thier version number is different. As far as I know, each release of the services apk defines a maximum version of the library that is supported. So the only conflict could happen when the services apk is outdated (on the target device), and your application's library is a newer one.
The best you can do is to update the library, and the services application on your device.
It should work that way.