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Finding the Third Proportional to 37,693,986.50 and 82,062,635.50

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Solution

The third proportional to 37,693,986.50 and 82,062,635.50 is: 178,656,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,693,986.50 : 82,062,635.50 = 82,062,635.50 : x
  2. Step 2: Convert to fraction form
    37,693,986.50/82,062,635.50 = 82,062,635.50/x
  3. Step 3: Cross multiply
    37,693,986.50x = 82,062,635.50 × 82,062,635.50
  4. Step 4: Simplify right side
    37,693,986.50x = 6,734,276,145,205,860
  5. Step 5: Solve for x
    x = 6,734,276,145,205,860/37,693,986.50
  6. Step 6: Final answer
    x = 178,656,511.83

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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.