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Finding the Third Proportional to 19,607,642,374,572 and 42,908,951,691,744

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Solution

The third proportional to 19,607,642,374,572 and 42,908,951,691,744 is: 93,901,046,342,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607,642,374,572 : 42,908,951,691,744 = 42,908,951,691,744 : x
  2. Step 2: Convert to fraction form
    19,607,642,374,572/42,908,951,691,744 = 42,908,951,691,744/x
  3. Step 3: Cross multiply
    19,607,642,374,572x = 42,908,951,691,744 × 42,908,951,691,744
  4. Step 4: Simplify right side
    19,607,642,374,572x = 1,841,178,135,284,420,341,231,779,840
  5. Step 5: Solve for x
    x = 1,841,178,135,284,420,341,231,779,840/19,607,642,374,572
  6. Step 6: Final answer
    x = 93,901,046,342,630.98

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