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Finding the Third Proportional to 9,431,942.75 and 20,208,480.75

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Solution

The third proportional to 9,431,942.75 and 20,208,480.75 is: 43,297,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,942.75 : 20,208,480.75 = 20,208,480.75 : x
  2. Step 2: Convert to fraction form
    9,431,942.75/20,208,480.75 = 20,208,480.75/x
  3. Step 3: Cross multiply
    9,431,942.75x = 20,208,480.75 × 20,208,480.75
  4. Step 4: Simplify right side
    9,431,942.75x = 408,382,694,223,120.56
  5. Step 5: Solve for x
    x = 408,382,694,223,120.56/9,431,942.75
  6. Step 6: Final answer
    x = 43,297,834.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.