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Finding the Third Proportional to 3,867,786 and 8,378,388

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Solution

The third proportional to 3,867,786 and 8,378,388 is: 18,149,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,786 : 8,378,388 = 8,378,388 : x
  2. Step 2: Convert to fraction form
    3,867,786/8,378,388 = 8,378,388/x
  3. Step 3: Cross multiply
    3,867,786x = 8,378,388 × 8,378,388
  4. Step 4: Simplify right side
    3,867,786x = 70,197,385,478,544
  5. Step 5: Solve for x
    x = 70,197,385,478,544/3,867,786
  6. Step 6: Final answer
    x = 18,149,242.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.