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Finding the Third Proportional to 17,800,494 and 38,283,564

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Solution

The third proportional to 17,800,494 and 38,283,564 is: 82,336,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800,494 : 38,283,564 = 38,283,564 : x
  2. Step 2: Convert to fraction form
    17,800,494/38,283,564 = 38,283,564/x
  3. Step 3: Cross multiply
    17,800,494x = 38,283,564 × 38,283,564
  4. Step 4: Simplify right side
    17,800,494x = 1,465,631,272,542,096
  5. Step 5: Solve for x
    x = 1,465,631,272,542,096/17,800,494
  6. Step 6: Final answer
    x = 82,336,550.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.