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Finding the Third Proportional to 440,041,230 and 932,545,650

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Solution

The third proportional to 440,041,230 and 932,545,650 is: 1,976,272,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,041,230 : 932,545,650 = 932,545,650 : x
  2. Step 2: Convert to fraction form
    440,041,230/932,545,650 = 932,545,650/x
  3. Step 3: Cross multiply
    440,041,230x = 932,545,650 × 932,545,650
  4. Step 4: Simplify right side
    440,041,230x = 869,641,389,333,922,560
  5. Step 5: Solve for x
    x = 869,641,389,333,922,560/440,041,230
  6. Step 6: Final answer
    x = 1,976,272,517.31

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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.