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Finding the Third Proportional to 5,687,869 and 8,048,161

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Solution

The third proportional to 5,687,869 and 8,048,161 is: 11,387,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,869 : 8,048,161 = 8,048,161 : x
  2. Step 2: Convert to fraction form
    5,687,869/8,048,161 = 8,048,161/x
  3. Step 3: Cross multiply
    5,687,869x = 8,048,161 × 8,048,161
  4. Step 4: Simplify right side
    5,687,869x = 64,772,895,481,921
  5. Step 5: Solve for x
    x = 64,772,895,481,921/5,687,869
  6. Step 6: Final answer
    x = 11,387,902.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.