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Finding the Third Proportional to 467,124,311 and 656,979,089.50

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Solution

The third proportional to 467,124,311 and 656,979,089.50 is: 923,997,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,124,311 : 656,979,089.50 = 656,979,089.50 : x
  2. Step 2: Convert to fraction form
    467,124,311/656,979,089.50 = 656,979,089.50/x
  3. Step 3: Cross multiply
    467,124,311x = 656,979,089.50 × 656,979,089.50
  4. Step 4: Simplify right side
    467,124,311x = 431,621,524,040,249,024
  5. Step 5: Solve for x
    x = 431,621,524,040,249,024/467,124,311
  6. Step 6: Final answer
    x = 923,997,132.83

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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.