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Welcome to Android Central! If you are looking to download new ringtones and notification sounds to your phone, I highly recommend you download Zedge - it's free and has an amazing selection!
Their downloading process is very easy - you tap the download icon in the lower middle section of the screen and then go back to your sound/notification settings; and you should be able to find your new ringtone from there. I'll attach a screenshot of the Zedge app to show you the download icon in another post! If you have any more questions, please feel free to ask!