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Finding the Third Proportional to 5,867,860 and 8,976,138

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Solution

The third proportional to 5,867,860 and 8,976,138 is: 13,730,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,860 : 8,976,138 = 8,976,138 : x
  2. Step 2: Convert to fraction form
    5,867,860/8,976,138 = 8,976,138/x
  3. Step 3: Cross multiply
    5,867,860x = 8,976,138 × 8,976,138
  4. Step 4: Simplify right side
    5,867,860x = 80,571,053,395,044
  5. Step 5: Solve for x
    x = 80,571,053,395,044/5,867,860
  6. Step 6: Final answer
    x = 13,730,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.