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Finding the Third Proportional to 440,041,227.75 and 932,545,649.25

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Solution

The third proportional to 440,041,227.75 and 932,545,649.25 is: 1,976,272,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,041,227.75 : 932,545,649.25 = 932,545,649.25 : x
  2. Step 2: Convert to fraction form
    440,041,227.75/932,545,649.25 = 932,545,649.25/x
  3. Step 3: Cross multiply
    440,041,227.75x = 932,545,649.25 × 932,545,649.25
  4. Step 4: Simplify right side
    440,041,227.75x = 869,641,387,935,104,000
  5. Step 5: Solve for x
    x = 869,641,387,935,104,000/440,041,227.75
  6. Step 6: Final answer
    x = 1,976,272,524.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.