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Finding the Third Proportional to 10,469,566 and 15,641,836

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Solution

The third proportional to 10,469,566 and 15,641,836 is: 23,369,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,566 : 15,641,836 = 15,641,836 : x
  2. Step 2: Convert to fraction form
    10,469,566/15,641,836 = 15,641,836/x
  3. Step 3: Cross multiply
    10,469,566x = 15,641,836 × 15,641,836
  4. Step 4: Simplify right side
    10,469,566x = 244,667,033,450,896
  5. Step 5: Solve for x
    x = 244,667,033,450,896/10,469,566
  6. Step 6: Final answer
    x = 23,369,357.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.