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Finding the Third Proportional to 6,286,227 and 13,723,914

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Solution

The third proportional to 6,286,227 and 13,723,914 is: 29,961,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,227 : 13,723,914 = 13,723,914 : x
  2. Step 2: Convert to fraction form
    6,286,227/13,723,914 = 13,723,914/x
  3. Step 3: Cross multiply
    6,286,227x = 13,723,914 × 13,723,914
  4. Step 4: Simplify right side
    6,286,227x = 188,345,815,479,396
  5. Step 5: Solve for x
    x = 188,345,815,479,396/6,286,227
  6. Step 6: Final answer
    x = 29,961,663.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.