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Finding the Third Proportional to 19,607,642,374,592 and 42,908,951,691,788

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Solution

The third proportional to 19,607,642,374,592 and 42,908,951,691,788 is: 93,901,046,342,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607,642,374,592 : 42,908,951,691,788 = 42,908,951,691,788 : x
  2. Step 2: Convert to fraction form
    19,607,642,374,592/42,908,951,691,788 = 42,908,951,691,788/x
  3. Step 3: Cross multiply
    19,607,642,374,592x = 42,908,951,691,788 × 42,908,951,691,788
  4. Step 4: Simplify right side
    19,607,642,374,592x = 1,841,178,135,288,196,339,039,469,568
  5. Step 5: Solve for x
    x = 1,841,178,135,288,196,339,039,469,568/19,607,642,374,592
  6. Step 6: Final answer
    x = 93,901,046,342,727.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.