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Finding the Third Proportional to 5,142,652 and 11,199,631

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Solution

The third proportional to 5,142,652 and 11,199,631 is: 24,390,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142,652 : 11,199,631 = 11,199,631 : x
  2. Step 2: Convert to fraction form
    5,142,652/11,199,631 = 11,199,631/x
  3. Step 3: Cross multiply
    5,142,652x = 11,199,631 × 11,199,631
  4. Step 4: Simplify right side
    5,142,652x = 125,431,734,536,161
  5. Step 5: Solve for x
    x = 125,431,734,536,161/5,142,652
  6. Step 6: Final answer
    x = 24,390,476.85

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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.