72 Hour Visa Questions

We are flying Los Angeles to Tokyo on UA (stop for 2 days), then to Beijing on JAL (stop for 2 nights - 47 hours), then to Hong Kong on CX for two nights. We have separate tickets for each flight leg.

I'm assuming this itinerary is okay since we are flying into Beijing for just 47 hours, then flying non stop to Hong Kong.

Please verify. Thanks.