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Finding the Third Proportional to 12,649,931 and 27,737,638

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Solution

The third proportional to 12,649,931 and 27,737,638 is: 60,820,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649,931 : 27,737,638 = 27,737,638 : x
  2. Step 2: Convert to fraction form
    12,649,931/27,737,638 = 27,737,638/x
  3. Step 3: Cross multiply
    12,649,931x = 27,737,638 × 27,737,638
  4. Step 4: Simplify right side
    12,649,931x = 769,376,561,819,044
  5. Step 5: Solve for x
    x = 769,376,561,819,044/12,649,931
  6. Step 6: Final answer
    x = 60,820,613.32

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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.