Just look at likelihood you are going to die each mile traveled. Using that method, passenger planes are 750 times safer than cars.
That being said, such stats as yours do not tell the whole story. The likelihood of dying while driving across the Atlantic Ocean approaches 100%...
I think this demonstrates two important flaws with the "passenger miles" concept: 1, miles are not always fungible between modes of transport. 2, intuitively we care more about the risk per trip, rather than the risk per mile.