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Finding the Third Proportional to 10,913,847 and 18,188,649

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Solution

The third proportional to 10,913,847 and 18,188,649 is: 30,312,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913,847 : 18,188,649 = 18,188,649 : x
  2. Step 2: Convert to fraction form
    10,913,847/18,188,649 = 18,188,649/x
  3. Step 3: Cross multiply
    10,913,847x = 18,188,649 × 18,188,649
  4. Step 4: Simplify right side
    10,913,847x = 330,826,952,445,201
  5. Step 5: Solve for x
    x = 330,826,952,445,201/10,913,847
  6. Step 6: Final answer
    x = 30,312,588.44

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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.