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Finding the Third Proportional to 4,469,932.13 and 9,654,329.25

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Solution

The third proportional to 4,469,932.13 and 9,654,329.25 is: 20,851,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469,932.13 : 9,654,329.25 = 9,654,329.25 : x
  2. Step 2: Convert to fraction form
    4,469,932.13/9,654,329.25 = 9,654,329.25/x
  3. Step 3: Cross multiply
    4,469,932.13x = 9,654,329.25 × 9,654,329.25
  4. Step 4: Simplify right side
    4,469,932.13x = 93,206,073,267,405.56
  5. Step 5: Solve for x
    x = 93,206,073,267,405.56/4,469,932.13
  6. Step 6: Final answer
    x = 20,851,787.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.