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Finding the Third Proportional to 5,206,554 and 11,213,208

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Solution

The third proportional to 5,206,554 and 11,213,208 is: 24,149,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,554 : 11,213,208 = 11,213,208 : x
  2. Step 2: Convert to fraction form
    5,206,554/11,213,208 = 11,213,208/x
  3. Step 3: Cross multiply
    5,206,554x = 11,213,208 × 11,213,208
  4. Step 4: Simplify right side
    5,206,554x = 125,736,033,651,264
  5. Step 5: Solve for x
    x = 125,736,033,651,264/5,206,554
  6. Step 6: Final answer
    x = 24,149,568.73

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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.