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Finding the Third Proportional to 13,655,841,417,842 and 29,488,187,124,340

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Solution

The third proportional to 13,655,841,417,842 and 29,488,187,124,340 is: 63,676,279,862,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655,841,417,842 : 29,488,187,124,340 = 29,488,187,124,340 : x
  2. Step 2: Convert to fraction form
    13,655,841,417,842/29,488,187,124,340 = 29,488,187,124,340/x
  3. Step 3: Cross multiply
    13,655,841,417,842x = 29,488,187,124,340 × 29,488,187,124,340
  4. Step 4: Simplify right side
    13,655,841,417,842x = 869,553,179,880,091,371,639,406,592
  5. Step 5: Solve for x
    x = 869,553,179,880,091,371,639,406,592/13,655,841,417,842
  6. Step 6: Final answer
    x = 63,676,279,862,475.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.