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Yes. Assuming it's an automatic, both use the 4L60E transmission.
GMC Yukon
On my '94 Sierra, The bumber is actually stamped, near the ball mount hole, with the bumber load limits. I believe it to be 200 lb tongue weight. Tongue weight is the amount of actual weight pushing down on the bumber at the ball mount, not the total weight of the trailer.
As a general rule GMC parts will bolt right onto a Chevy vehicle of the same model type. So yes that GMC grille will fit your '99 Chevy Tahoe if the year range and model type are the same.
The 2001 GMC Savana has 12 valves.
The 2001 GMC Yukon has 16 valves.
The 2001 GMC Yukon has a V8 engine.
The 2001 GMC Savana has overhead valves (OHV).
The 2001 GMC Savana has a 4-speed automatic.
The 2001 GMC Yukon has overhead valves (OHV).
The 2001 GMC Yukon is a gas-powered vehicle.
The 2001 GMC Yukon has a 4-speed automatic.