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Finding the Third Proportional to 37,693,984 and 82,062,630

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Solution

The third proportional to 37,693,984 and 82,062,630 is: 178,656,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,693,984 : 82,062,630 = 82,062,630 : x
  2. Step 2: Convert to fraction form
    37,693,984/82,062,630 = 82,062,630/x
  3. Step 3: Cross multiply
    37,693,984x = 82,062,630 × 82,062,630
  4. Step 4: Simplify right side
    37,693,984x = 6,734,275,242,516,900
  5. Step 5: Solve for x
    x = 6,734,275,242,516,900/37,693,984
  6. Step 6: Final answer
    x = 178,656,499.74

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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.