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Finding the Third Proportional to 4,193,450.16 and 9,172,033.31

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Solution

The third proportional to 4,193,450.16 and 9,172,033.31 is: 20,061,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,450.16 : 9,172,033.31 = 9,172,033.31 : x
  2. Step 2: Convert to fraction form
    4,193,450.16/9,172,033.31 = 9,172,033.31/x
  3. Step 3: Cross multiply
    4,193,450.16x = 9,172,033.31 × 9,172,033.31
  4. Step 4: Simplify right side
    4,193,450.16x = 84,126,195,085,609.72
  5. Step 5: Solve for x
    x = 84,126,195,085,609.72/4,193,450.16
  6. Step 6: Final answer
    x = 20,061,331.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.