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Finding the Third Proportional to 2,361,231.50 and 5,006,217.38

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Solution

The third proportional to 2,361,231.50 and 5,006,217.38 is: 10,614,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,231.50 : 5,006,217.38 = 5,006,217.38 : x
  2. Step 2: Convert to fraction form
    2,361,231.50/5,006,217.38 = 5,006,217.38/x
  3. Step 3: Cross multiply
    2,361,231.50x = 5,006,217.38 × 5,006,217.38
  4. Step 4: Simplify right side
    2,361,231.50x = 25,062,212,405,751.89
  5. Step 5: Solve for x
    x = 25,062,212,405,751.89/2,361,231.50
  6. Step 6: Final answer
    x = 10,614,042.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.