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Finding the Third Proportional to 267,147,939 and 408,666,732.75

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Solution

The third proportional to 267,147,939 and 408,666,732.75 is: 625,153,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,147,939 : 408,666,732.75 = 408,666,732.75 : x
  2. Step 2: Convert to fraction form
    267,147,939/408,666,732.75 = 408,666,732.75/x
  3. Step 3: Cross multiply
    267,147,939x = 408,666,732.75 × 408,666,732.75
  4. Step 4: Simplify right side
    267,147,939x = 167,008,498,456,559,936
  5. Step 5: Solve for x
    x = 167,008,498,456,559,936/267,147,939
  6. Step 6: Final answer
    x = 625,153,609.95

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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.