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Finding the Third Proportional to 561,451,450 and 1,251,998,594

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Solution

The third proportional to 561,451,450 and 1,251,998,594 is: 2,791,871,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,451,450 : 1,251,998,594 = 1,251,998,594 : x
  2. Step 2: Convert to fraction form
    561,451,450/1,251,998,594 = 1,251,998,594/x
  3. Step 3: Cross multiply
    561,451,450x = 1,251,998,594 × 1,251,998,594
  4. Step 4: Simplify right side
    561,451,450x = 1,567,500,479,377,976,832
  5. Step 5: Solve for x
    x = 1,567,500,479,377,976,832/561,451,450
  6. Step 6: Final answer
    x = 2,791,871,816.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.