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Finding the Third Proportional to 468,542,558,897 and 659,811,170,694

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Solution

The third proportional to 468,542,558,897 and 659,811,170,694 is: 929,159,523,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,542,558,897 : 659,811,170,694 = 659,811,170,694 : x
  2. Step 2: Convert to fraction form
    468,542,558,897/659,811,170,694 = 659,811,170,694/x
  3. Step 3: Cross multiply
    468,542,558,897x = 659,811,170,694 × 659,811,170,694
  4. Step 4: Simplify right side
    468,542,558,897x = 435,350,780,972,586,797,891,584
  5. Step 5: Solve for x
    x = 435,350,780,972,586,797,891,584/468,542,558,897
  6. Step 6: Final answer
    x = 929,159,523,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.