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Finding the Third Proportional to 6,123,670 and 13,183,375

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Solution

The third proportional to 6,123,670 and 13,183,375 is: 28,381,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123,670 : 13,183,375 = 13,183,375 : x
  2. Step 2: Convert to fraction form
    6,123,670/13,183,375 = 13,183,375/x
  3. Step 3: Cross multiply
    6,123,670x = 13,183,375 × 13,183,375
  4. Step 4: Simplify right side
    6,123,670x = 173,801,376,390,625
  5. Step 5: Solve for x
    x = 173,801,376,390,625/6,123,670
  6. Step 6: Final answer
    x = 28,381,897.85

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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.