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Finding the Third Proportional to 5,206,938 and 11,213,103

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Solution

The third proportional to 5,206,938 and 11,213,103 is: 24,147,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,938 : 11,213,103 = 11,213,103 : x
  2. Step 2: Convert to fraction form
    5,206,938/11,213,103 = 11,213,103/x
  3. Step 3: Cross multiply
    5,206,938x = 11,213,103 × 11,213,103
  4. Step 4: Simplify right side
    5,206,938x = 125,733,678,888,609
  5. Step 5: Solve for x
    x = 125,733,678,888,609/5,206,938
  6. Step 6: Final answer
    x = 24,147,335.51

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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.