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Finding the Third Proportional to 12,041,576 and 17,165,481

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Solution

The third proportional to 12,041,576 and 17,165,481 is: 24,469,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041,576 : 17,165,481 = 17,165,481 : x
  2. Step 2: Convert to fraction form
    12,041,576/17,165,481 = 17,165,481/x
  3. Step 3: Cross multiply
    12,041,576x = 17,165,481 × 17,165,481
  4. Step 4: Simplify right side
    12,041,576x = 294,653,737,961,361
  5. Step 5: Solve for x
    x = 294,653,737,961,361/12,041,576
  6. Step 6: Final answer
    x = 24,469,698.81

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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.