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Finding the Third Proportional to 5,206,532 and 11,213,162

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Solution

The third proportional to 5,206,532 and 11,213,162 is: 24,149,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,532 : 11,213,162 = 11,213,162 : x
  2. Step 2: Convert to fraction form
    5,206,532/11,213,162 = 11,213,162/x
  3. Step 3: Cross multiply
    5,206,532x = 11,213,162 × 11,213,162
  4. Step 4: Simplify right side
    5,206,532x = 125,735,002,038,244
  5. Step 5: Solve for x
    x = 125,735,002,038,244/5,206,532
  6. Step 6: Final answer
    x = 24,149,472.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.