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Finding the Third Proportional to 3,663,667.97 and 7,831,531.83

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Solution

The third proportional to 3,663,667.97 and 7,831,531.83 is: 16,740,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,667.97 : 7,831,531.83 = 7,831,531.83 : x
  2. Step 2: Convert to fraction form
    3,663,667.97/7,831,531.83 = 7,831,531.83/x
  3. Step 3: Cross multiply
    3,663,667.97x = 7,831,531.83 × 7,831,531.83
  4. Step 4: Simplify right side
    3,663,667.97x = 61,332,890,774,934.91
  5. Step 5: Solve for x
    x = 61,332,890,774,934.91/3,663,667.97
  6. Step 6: Final answer
    x = 16,740,843.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.