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Finding the Third Proportional to 10,913,847 and 18,188,651

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Solution

The third proportional to 10,913,847 and 18,188,651 is: 30,312,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913,847 : 18,188,651 = 18,188,651 : x
  2. Step 2: Convert to fraction form
    10,913,847/18,188,651 = 18,188,651/x
  3. Step 3: Cross multiply
    10,913,847x = 18,188,651 × 18,188,651
  4. Step 4: Simplify right side
    10,913,847x = 330,827,025,199,801
  5. Step 5: Solve for x
    x = 330,827,025,199,801/10,913,847
  6. Step 6: Final answer
    x = 30,312,595.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.