Finding the Third Proportional to 37,411,759,768 and 81,409,497,992
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Solution
The third proportional to 37,411,759,768 and 81,409,497,992 is: 177,150,350,702.78
Step by Step Solution
- Step 1: Write the proportion equation
37,411,759,768 : 81,409,497,992 = 81,409,497,992 : x - Step 2: Convert to fraction form
37,411,759,768/81,409,497,992 = 81,409,497,992/x - Step 3: Cross multiply
37,411,759,768x = 81,409,497,992 × 81,409,497,992 - Step 4: Simplify right side
37,411,759,768x = 6,627,506,363,309,452,427,264 - Step 5: Solve for x
x = 6,627,506,363,309,452,427,264/37,411,759,768 - Step 6: Final answer
x = 177,150,350,702.78
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.