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Finding the Third Proportional to 81,419,414 and 175,593,052

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Solution

The third proportional to 81,419,414 and 175,593,052 is: 378,692,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419,414 : 175,593,052 = 175,593,052 : x
  2. Step 2: Convert to fraction form
    81,419,414/175,593,052 = 175,593,052/x
  3. Step 3: Cross multiply
    81,419,414x = 175,593,052 × 175,593,052
  4. Step 4: Simplify right side
    81,419,414x = 30,832,919,910,674,704
  5. Step 5: Solve for x
    x = 30,832,919,910,674,704/81,419,414
  6. Step 6: Final answer
    x = 378,692,481.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.