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Finding the Third Proportional to 5,921,649 and 8,677,161

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Solution

The third proportional to 5,921,649 and 8,677,161 is: 12,714,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,649 : 8,677,161 = 8,677,161 : x
  2. Step 2: Convert to fraction form
    5,921,649/8,677,161 = 8,677,161/x
  3. Step 3: Cross multiply
    5,921,649x = 8,677,161 × 8,677,161
  4. Step 4: Simplify right side
    5,921,649x = 75,293,123,019,921
  5. Step 5: Solve for x
    x = 75,293,123,019,921/5,921,649
  6. Step 6: Final answer
    x = 12,714,891.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.