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Finding the Third Proportional to 9,162,264 and 19,537,872

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Solution

The third proportional to 9,162,264 and 19,537,872 is: 41,663,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,264 : 19,537,872 = 19,537,872 : x
  2. Step 2: Convert to fraction form
    9,162,264/19,537,872 = 19,537,872/x
  3. Step 3: Cross multiply
    9,162,264x = 19,537,872 × 19,537,872
  4. Step 4: Simplify right side
    9,162,264x = 381,728,442,288,384
  5. Step 5: Solve for x
    x = 381,728,442,288,384/9,162,264
  6. Step 6: Final answer
    x = 41,663,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.