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Finding the Third Proportional to 11,462,343.75 and 17,340,939

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Solution

The third proportional to 11,462,343.75 and 17,340,939 is: 26,234,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462,343.75 : 17,340,939 = 17,340,939 : x
  2. Step 2: Convert to fraction form
    11,462,343.75/17,340,939 = 17,340,939/x
  3. Step 3: Cross multiply
    11,462,343.75x = 17,340,939 × 17,340,939
  4. Step 4: Simplify right side
    11,462,343.75x = 300,708,165,401,721
  5. Step 5: Solve for x
    x = 300,708,165,401,721/11,462,343.75
  6. Step 6: Final answer
    x = 26,234,439.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.