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Finding the Third Proportional to 11,420,625 and 24,723,042

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Solution

The third proportional to 11,420,625 and 24,723,042 is: 53,519,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420,625 : 24,723,042 = 24,723,042 : x
  2. Step 2: Convert to fraction form
    11,420,625/24,723,042 = 24,723,042/x
  3. Step 3: Cross multiply
    11,420,625x = 24,723,042 × 24,723,042
  4. Step 4: Simplify right side
    11,420,625x = 611,228,805,733,764
  5. Step 5: Solve for x
    x = 611,228,805,733,764/11,420,625
  6. Step 6: Final answer
    x = 53,519,733.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.