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Finding the Third Proportional to 2,863,367.72 and 6,175,138.78

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Solution

The third proportional to 2,863,367.72 and 6,175,138.78 is: 13,317,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,367.72 : 6,175,138.78 = 6,175,138.78 : x
  2. Step 2: Convert to fraction form
    2,863,367.72/6,175,138.78 = 6,175,138.78/x
  3. Step 3: Cross multiply
    2,863,367.72x = 6,175,138.78 × 6,175,138.78
  4. Step 4: Simplify right side
    2,863,367.72x = 38,132,338,967,697.73
  5. Step 5: Solve for x
    x = 38,132,338,967,697.73/2,863,367.72
  6. Step 6: Final answer
    x = 13,317,304.21

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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.