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Finding the Third Proportional to 467,124,327 and 656,979,113.25

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Solution

The third proportional to 467,124,327 and 656,979,113.25 is: 923,997,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,124,327 : 656,979,113.25 = 656,979,113.25 : x
  2. Step 2: Convert to fraction form
    467,124,327/656,979,113.25 = 656,979,113.25/x
  3. Step 3: Cross multiply
    467,124,327x = 656,979,113.25 × 656,979,113.25
  4. Step 4: Simplify right side
    467,124,327x = 431,621,555,246,756,352
  5. Step 5: Solve for x
    x = 431,621,555,246,756,352/467,124,327
  6. Step 6: Final answer
    x = 923,997,167.99

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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.