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Finding the Third Proportional to 13,655,841,416,800 and 29,488,187,122,160

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Solution

The third proportional to 13,655,841,416,800 and 29,488,187,122,160 is: 63,676,279,857,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655,841,416,800 : 29,488,187,122,160 = 29,488,187,122,160 : x
  2. Step 2: Convert to fraction form
    13,655,841,416,800/29,488,187,122,160 = 29,488,187,122,160/x
  3. Step 3: Cross multiply
    13,655,841,416,800x = 29,488,187,122,160 × 29,488,187,122,160
  4. Step 4: Simplify right side
    13,655,841,416,800x = 869,553,179,751,522,865,663,442,944
  5. Step 5: Solve for x
    x = 869,553,179,751,522,865,663,442,944/13,655,841,416,800
  6. Step 6: Final answer
    x = 63,676,279,857,919.37

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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.