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Finding the Third Proportional to 5,273,856 and 11,342,592

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Solution

The third proportional to 5,273,856 and 11,342,592 is: 24,394,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273,856 : 11,342,592 = 11,342,592 : x
  2. Step 2: Convert to fraction form
    5,273,856/11,342,592 = 11,342,592/x
  3. Step 3: Cross multiply
    5,273,856x = 11,342,592 × 11,342,592
  4. Step 4: Simplify right side
    5,273,856x = 128,654,393,278,464
  5. Step 5: Solve for x
    x = 128,654,393,278,464/5,273,856
  6. Step 6: Final answer
    x = 24,394,748.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.