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Finding the Third Proportional to 27,659,213,676 and 59,513,456,394

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Solution

The third proportional to 27,659,213,676 and 59,513,456,394 is: 128,053,224,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659,213,676 : 59,513,456,394 = 59,513,456,394 : x
  2. Step 2: Convert to fraction form
    27,659,213,676/59,513,456,394 = 59,513,456,394/x
  3. Step 3: Cross multiply
    27,659,213,676x = 59,513,456,394 × 59,513,456,394
  4. Step 4: Simplify right side
    27,659,213,676x = 3,541,851,491,960,539,316,224
  5. Step 5: Solve for x
    x = 3,541,851,491,960,539,316,224/27,659,213,676
  6. Step 6: Final answer
    x = 128,053,224,269.13

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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.