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Finding the Third Proportional to 468,542,558,895 and 659,811,170,691

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Solution

The third proportional to 468,542,558,895 and 659,811,170,691 is: 929,159,523,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,542,558,895 : 659,811,170,691 = 659,811,170,691 : x
  2. Step 2: Convert to fraction form
    468,542,558,895/659,811,170,691 = 659,811,170,691/x
  3. Step 3: Cross multiply
    468,542,558,895x = 659,811,170,691 × 659,811,170,691
  4. Step 4: Simplify right side
    468,542,558,895x = 435,350,780,968,627,911,786,496
  5. Step 5: Solve for x
    x = 435,350,780,968,627,911,786,496/468,542,558,895
  6. Step 6: Final answer
    x = 929,159,523,940.26

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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.