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Finding the Third Proportional to 67,029,056 and 102,491,568

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Solution

The third proportional to 67,029,056 and 102,491,568 is: 156,715,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,029,056 : 102,491,568 = 102,491,568 : x
  2. Step 2: Convert to fraction form
    67,029,056/102,491,568 = 102,491,568/x
  3. Step 3: Cross multiply
    67,029,056x = 102,491,568 × 102,491,568
  4. Step 4: Simplify right side
    67,029,056x = 10,504,521,511,098,624
  5. Step 5: Solve for x
    x = 10,504,521,511,098,624/67,029,056
  6. Step 6: Final answer
    x = 156,715,939.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.