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Finding the Third Proportional to 3,103,766.75 and 6,681,885.82

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Solution

The third proportional to 3,103,766.75 and 6,681,885.82 is: 14,384,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103,766.75 : 6,681,885.82 = 6,681,885.82 : x
  2. Step 2: Convert to fraction form
    3,103,766.75/6,681,885.82 = 6,681,885.82/x
  3. Step 3: Cross multiply
    3,103,766.75x = 6,681,885.82 × 6,681,885.82
  4. Step 4: Simplify right side
    3,103,766.75x = 44,647,598,115,693.25
  5. Step 5: Solve for x
    x = 44,647,598,115,693.25/3,103,766.75
  6. Step 6: Final answer
    x = 14,384,972.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.