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Finding the Third Proportional to 2,816,199 and 5,781,691.69

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Solution

The third proportional to 2,816,199 and 5,781,691.69 is: 11,869,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816,199 : 5,781,691.69 = 5,781,691.69 : x
  2. Step 2: Convert to fraction form
    2,816,199/5,781,691.69 = 5,781,691.69/x
  3. Step 3: Cross multiply
    2,816,199x = 5,781,691.69 × 5,781,691.69
  4. Step 4: Simplify right side
    2,816,199x = 33,427,958,769,306.60
  5. Step 5: Solve for x
    x = 33,427,958,769,306.60/2,816,199
  6. Step 6: Final answer
    x = 11,869,885.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.