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Finding the Third Proportional to 37,802,713 and 82,447,460

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Solution

The third proportional to 37,802,713 and 82,447,460 is: 179,817,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802,713 : 82,447,460 = 82,447,460 : x
  2. Step 2: Convert to fraction form
    37,802,713/82,447,460 = 82,447,460/x
  3. Step 3: Cross multiply
    37,802,713x = 82,447,460 × 82,447,460
  4. Step 4: Simplify right side
    37,802,713x = 6,797,583,660,451,600
  5. Step 5: Solve for x
    x = 6,797,583,660,451,600/37,802,713
  6. Step 6: Final answer
    x = 179,817,349.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.