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Finding the Third Proportional to 5,046,944.50 and 7,568,564

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Solution

The third proportional to 5,046,944.50 and 7,568,564 is: 11,350,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,944.50 : 7,568,564 = 7,568,564 : x
  2. Step 2: Convert to fraction form
    5,046,944.50/7,568,564 = 7,568,564/x
  3. Step 3: Cross multiply
    5,046,944.50x = 7,568,564 × 7,568,564
  4. Step 4: Simplify right side
    5,046,944.50x = 57,283,161,022,096
  5. Step 5: Solve for x
    x = 57,283,161,022,096/5,046,944.50
  6. Step 6: Final answer
    x = 11,350,067.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.