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Finding the Third Proportional to 123,922,384 and 269,337,632

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Solution

The third proportional to 123,922,384 and 269,337,632 is: 585,388,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,922,384 : 269,337,632 = 269,337,632 : x
  2. Step 2: Convert to fraction form
    123,922,384/269,337,632 = 269,337,632/x
  3. Step 3: Cross multiply
    123,922,384x = 269,337,632 × 269,337,632
  4. Step 4: Simplify right side
    123,922,384x = 72,542,760,011,367,424
  5. Step 5: Solve for x
    x = 72,542,760,011,367,424/123,922,384
  6. Step 6: Final answer
    x = 585,388,673.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.