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Finding the Third Proportional to 12,649,929 and 27,737,634

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Solution

The third proportional to 12,649,929 and 27,737,634 is: 60,820,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649,929 : 27,737,634 = 27,737,634 : x
  2. Step 2: Convert to fraction form
    12,649,929/27,737,634 = 27,737,634/x
  3. Step 3: Cross multiply
    12,649,929x = 27,737,634 × 27,737,634
  4. Step 4: Simplify right side
    12,649,929x = 769,376,339,917,956
  5. Step 5: Solve for x
    x = 769,376,339,917,956/12,649,929
  6. Step 6: Final answer
    x = 60,820,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.