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Finding the Third Proportional to 81,454,734 and 175,655,412

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Solution

The third proportional to 81,454,734 and 175,655,412 is: 378,797,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,454,734 : 175,655,412 = 175,655,412 : x
  2. Step 2: Convert to fraction form
    81,454,734/175,655,412 = 175,655,412/x
  3. Step 3: Cross multiply
    81,454,734x = 175,655,412 × 175,655,412
  4. Step 4: Simplify right side
    81,454,734x = 30,854,823,764,889,744
  5. Step 5: Solve for x
    x = 30,854,823,764,889,744/81,454,734
  6. Step 6: Final answer
    x = 378,797,182.80

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