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Finding the Third Proportional to 12,882,105 and 27,781,869.38

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Solution

The third proportional to 12,882,105 and 27,781,869.38 is: 59,915,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882,105 : 27,781,869.38 = 27,781,869.38 : x
  2. Step 2: Convert to fraction form
    12,882,105/27,781,869.38 = 27,781,869.38/x
  3. Step 3: Cross multiply
    12,882,105x = 27,781,869.38 × 27,781,869.38
  4. Step 4: Simplify right side
    12,882,105x = 771,832,265,969,562.88
  5. Step 5: Solve for x
    x = 771,832,265,969,562.88/12,882,105
  6. Step 6: Final answer
    x = 59,915,073.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.