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Finding the Third Proportional to 5,230,605 and 11,286,922

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Solution

The third proportional to 5,230,605 and 11,286,922 is: 24,355,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,605 : 11,286,922 = 11,286,922 : x
  2. Step 2: Convert to fraction form
    5,230,605/11,286,922 = 11,286,922/x
  3. Step 3: Cross multiply
    5,230,605x = 11,286,922 × 11,286,922
  4. Step 4: Simplify right side
    5,230,605x = 127,394,608,234,084
  5. Step 5: Solve for x
    x = 127,394,608,234,084/5,230,605
  6. Step 6: Final answer
    x = 24,355,616.27

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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.