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Finding the Third Proportional to 19,607,642,374,567 and 42,908,951,691,738

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Solution

The third proportional to 19,607,642,374,567 and 42,908,951,691,738 is: 93,901,046,342,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607,642,374,567 : 42,908,951,691,738 = 42,908,951,691,738 : x
  2. Step 2: Convert to fraction form
    19,607,642,374,567/42,908,951,691,738 = 42,908,951,691,738/x
  3. Step 3: Cross multiply
    19,607,642,374,567x = 42,908,951,691,738 × 42,908,951,691,738
  4. Step 4: Simplify right side
    19,607,642,374,567x = 1,841,178,135,283,905,494,912,073,728
  5. Step 5: Solve for x
    x = 1,841,178,135,283,905,494,912,073,728/19,607,642,374,567
  6. Step 6: Final answer
    x = 93,901,046,342,628.67

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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.