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Finding the Third Proportional to 516,126,855.75 and 764,515,267.88

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Solution

The third proportional to 516,126,855.75 and 764,515,267.88 is: 1,132,441,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,126,855.75 : 764,515,267.88 = 764,515,267.88 : x
  2. Step 2: Convert to fraction form
    516,126,855.75/764,515,267.88 = 764,515,267.88/x
  3. Step 3: Cross multiply
    516,126,855.75x = 764,515,267.88 × 764,515,267.88
  4. Step 4: Simplify right side
    516,126,855.75x = 584,483,594,813,982,976
  5. Step 5: Solve for x
    x = 584,483,594,813,982,976/516,126,855.75
  6. Step 6: Final answer
    x = 1,132,441,740.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.