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Finding the Third Proportional to 12,183,864 and 16,172,952

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Solution

The third proportional to 12,183,864 and 16,172,952 is: 21,468,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183,864 : 16,172,952 = 16,172,952 : x
  2. Step 2: Convert to fraction form
    12,183,864/16,172,952 = 16,172,952/x
  3. Step 3: Cross multiply
    12,183,864x = 16,172,952 × 16,172,952
  4. Step 4: Simplify right side
    12,183,864x = 261,564,376,394,304
  5. Step 5: Solve for x
    x = 261,564,376,394,304/12,183,864
  6. Step 6: Final answer
    x = 21,468,097.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.