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Finding the Third Proportional to 516,126,858 and 764,515,271

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Solution

The third proportional to 516,126,858 and 764,515,271 is: 1,132,441,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,126,858 : 764,515,271 = 764,515,271 : x
  2. Step 2: Convert to fraction form
    516,126,858/764,515,271 = 764,515,271/x
  3. Step 3: Cross multiply
    516,126,858x = 764,515,271 × 764,515,271
  4. Step 4: Simplify right side
    516,126,858x = 584,483,599,592,203,392
  5. Step 5: Solve for x
    x = 584,483,599,592,203,392/516,126,858
  6. Step 6: Final answer
    x = 1,132,441,744.76

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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.