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Finding the Third Proportional to 9,431,938.69 and 20,208,472.31

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Solution

The third proportional to 9,431,938.69 and 20,208,472.31 is: 43,297,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,938.69 : 20,208,472.31 = 20,208,472.31 : x
  2. Step 2: Convert to fraction form
    9,431,938.69/20,208,472.31 = 20,208,472.31/x
  3. Step 3: Cross multiply
    9,431,938.69x = 20,208,472.31 × 20,208,472.31
  4. Step 4: Simplify right side
    9,431,938.69x = 408,382,353,205,079.12
  5. Step 5: Solve for x
    x = 408,382,353,205,079.12/9,431,938.69
  6. Step 6: Final answer
    x = 43,297,816.78

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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.