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Finding the Third Proportional to 10,614,145.50 and 23,215,626

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Solution

The third proportional to 10,614,145.50 and 23,215,626 is: 50,778,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,145.50 : 23,215,626 = 23,215,626 : x
  2. Step 2: Convert to fraction form
    10,614,145.50/23,215,626 = 23,215,626/x
  3. Step 3: Cross multiply
    10,614,145.50x = 23,215,626 × 23,215,626
  4. Step 4: Simplify right side
    10,614,145.50x = 538,965,290,571,876
  5. Step 5: Solve for x
    x = 538,965,290,571,876/10,614,145.50
  6. Step 6: Final answer
    x = 50,778,019.82

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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.