Finding the Third Proportional to 37,789,020,032 and 81,186,032,512
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Solution
The third proportional to 37,789,020,032 and 81,186,032,512 is: 174,420,291,117.85
Step by Step Solution
- Step 1: Write the proportion equation
37,789,020,032 : 81,186,032,512 = 81,186,032,512 : x - Step 2: Convert to fraction form
37,789,020,032/81,186,032,512 = 81,186,032,512/x - Step 3: Cross multiply
37,789,020,032x = 81,186,032,512 × 81,186,032,512 - Step 4: Simplify right side
37,789,020,032x = 6,591,171,875,039,520,751,616 - Step 5: Solve for x
x = 6,591,171,875,039,520,751,616/37,789,020,032 - Step 6: Final answer
x = 174,420,291,117.85
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.