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Finding the Third Proportional to 5,230,601 and 11,286,913

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Solution

The third proportional to 5,230,601 and 11,286,913 is: 24,355,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,601 : 11,286,913 = 11,286,913 : x
  2. Step 2: Convert to fraction form
    5,230,601/11,286,913 = 11,286,913/x
  3. Step 3: Cross multiply
    5,230,601x = 11,286,913 × 11,286,913
  4. Step 4: Simplify right side
    5,230,601x = 127,394,405,069,569
  5. Step 5: Solve for x
    x = 127,394,405,069,569/5,230,601
  6. Step 6: Final answer
    x = 24,355,596.05

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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.