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Finding the Third Proportional to 10,829,569 and 24,079,849

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Solution

The third proportional to 10,829,569 and 24,079,849 is: 53,542,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,569 : 24,079,849 = 24,079,849 : x
  2. Step 2: Convert to fraction form
    10,829,569/24,079,849 = 24,079,849/x
  3. Step 3: Cross multiply
    10,829,569x = 24,079,849 × 24,079,849
  4. Step 4: Simplify right side
    10,829,569x = 579,839,127,862,801
  5. Step 5: Solve for x
    x = 579,839,127,862,801/10,829,569
  6. Step 6: Final answer
    x = 53,542,216.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.