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Finding the Third Proportional to 4,719,138.75 and 7,287,336.56

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Solution

The third proportional to 4,719,138.75 and 7,287,336.56 is: 11,253,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719,138.75 : 7,287,336.56 = 7,287,336.56 : x
  2. Step 2: Convert to fraction form
    4,719,138.75/7,287,336.56 = 7,287,336.56/x
  3. Step 3: Cross multiply
    4,719,138.75x = 7,287,336.56 × 7,287,336.56
  4. Step 4: Simplify right side
    4,719,138.75x = 53,105,274,175,149.31
  5. Step 5: Solve for x
    x = 53,105,274,175,149.31/4,719,138.75
  6. Step 6: Final answer
    x = 11,253,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.