The ratios for cooler case are 3:46/2:82/3:27.. The 3:27 is US 4.5 version only.

I have been told that some 3.5 had the 3:69/non cooler diff., [ coupe], but I do not remember ever seeing one.
Someone here w/coupe/3.5 can verify if so..............
I have seen the 3:69 ratio w/o cooler in different IL-6 engined chassis.
But not a 3:69 in the oil cooler casing.
SLS of Germany verifies the same on their Swing Axle Specifications insert page.

You can tell by just looking under the car for the cooler pipe going from the left axle casing back to the diff case ..it is a U shaped metal tube that circulates the lube for the better cooling requirements of chassis equipped with the higher torque V8 engines.........
..and the ratio is stamped into the botton/left of the diff casing.

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A Dalton