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if you are asking if wiring the 2 18v batteries in parallel will make there life easier by reducing the current draw in half then the answer is definitely yes.
The batteries you have are probably in the range or 1-2 amp hours so 2-4 amp hours if wired in parallel. I assume you mean that the lead acid batteries are 20 amp hours rated so you would only have a small portion of the original capacity. Li-ion batteries have very low internal resistance and are capable of high burst currents.
I suspect your bigger problem is the 1.5 times nominal voltage. The current draw is going up by at least a similar factor, and power is going up 1.5^2. I think with the much reduced capacity and the increased current draw you probably won't get good results.
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84 930
18 Cayman GTS
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