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Finding the Third Proportional to 267,147,942 and 408,666,737.50

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Solution

The third proportional to 267,147,942 and 408,666,737.50 is: 625,153,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,147,942 : 408,666,737.50 = 408,666,737.50 : x
  2. Step 2: Convert to fraction form
    267,147,942/408,666,737.50 = 408,666,737.50/x
  3. Step 3: Cross multiply
    267,147,942x = 408,666,737.50 × 408,666,737.50
  4. Step 4: Simplify right side
    267,147,942x = 167,008,502,338,893,920
  5. Step 5: Solve for x
    x = 167,008,502,338,893,920/267,147,942
  6. Step 6: Final answer
    x = 625,153,617.46

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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.