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Finding the Third Proportional to 5,394,717 and 11,558,914.50

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Solution

The third proportional to 5,394,717 and 11,558,914.50 is: 24,766,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,717 : 11,558,914.50 = 11,558,914.50 : x
  2. Step 2: Convert to fraction form
    5,394,717/11,558,914.50 = 11,558,914.50/x
  3. Step 3: Cross multiply
    5,394,717x = 11,558,914.50 × 11,558,914.50
  4. Step 4: Simplify right side
    5,394,717x = 133,608,504,418,310.25
  5. Step 5: Solve for x
    x = 133,608,504,418,310.25/5,394,717
  6. Step 6: Final answer
    x = 24,766,545.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.