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Finding the Third Proportional to 19,607,642,374,584 and 42,908,951,691,774

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Solution

The third proportional to 19,607,642,374,584 and 42,908,951,691,774 is: 93,901,046,342,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607,642,374,584 : 42,908,951,691,774 = 42,908,951,691,774 : x
  2. Step 2: Convert to fraction form
    19,607,642,374,584/42,908,951,691,774 = 42,908,951,691,774/x
  3. Step 3: Cross multiply
    19,607,642,374,584x = 42,908,951,691,774 × 42,908,951,691,774
  4. Step 4: Simplify right side
    19,607,642,374,584x = 1,841,178,135,286,994,847,708,217,344
  5. Step 5: Solve for x
    x = 1,841,178,135,286,994,847,708,217,344/19,607,642,374,584
  6. Step 6: Final answer
    x = 93,901,046,342,704.81

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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.