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Finding the Third Proportional to 12,041,569 and 17,165,471

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Solution

The third proportional to 12,041,569 and 17,165,471 is: 24,469,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041,569 : 17,165,471 = 17,165,471 : x
  2. Step 2: Convert to fraction form
    12,041,569/17,165,471 = 17,165,471/x
  3. Step 3: Cross multiply
    12,041,569x = 17,165,471 × 17,165,471
  4. Step 4: Simplify right side
    12,041,569x = 294,653,394,651,841
  5. Step 5: Solve for x
    x = 294,653,394,651,841/12,041,569
  6. Step 6: Final answer
    x = 24,469,684.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.