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Finding the Third Proportional to 2,225,136.38 and 4,568,234.06

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Solution

The third proportional to 2,225,136.38 and 4,568,234.06 is: 9,378,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,136.38 : 4,568,234.06 = 4,568,234.06 : x
  2. Step 2: Convert to fraction form
    2,225,136.38/4,568,234.06 = 4,568,234.06/x
  3. Step 3: Cross multiply
    2,225,136.38x = 4,568,234.06 × 4,568,234.06
  4. Step 4: Simplify right side
    2,225,136.38x = 20,868,762,449,785.25
  5. Step 5: Solve for x
    x = 20,868,762,449,785.25/2,225,136.38
  6. Step 6: Final answer
    x = 9,378,644.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.