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Finding the Third Proportional to 11,384,908.17 and 16,650,375.82

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Solution

The third proportional to 11,384,908.17 and 16,650,375.82 is: 24,351,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,908.17 : 16,650,375.82 = 16,650,375.82 : x
  2. Step 2: Convert to fraction form
    11,384,908.17/16,650,375.82 = 16,650,375.82/x
  3. Step 3: Cross multiply
    11,384,908.17x = 16,650,375.82 × 16,650,375.82
  4. Step 4: Simplify right side
    11,384,908.17x = 277,235,014,957,630.53
  5. Step 5: Solve for x
    x = 277,235,014,957,630.53/11,384,908.17
  6. Step 6: Final answer
    x = 24,351,098.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.