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Finding the Third Proportional to 3,867,768 and 8,378,352

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Solution

The third proportional to 3,867,768 and 8,378,352 is: 18,149,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,768 : 8,378,352 = 8,378,352 : x
  2. Step 2: Convert to fraction form
    3,867,768/8,378,352 = 8,378,352/x
  3. Step 3: Cross multiply
    3,867,768x = 8,378,352 × 8,378,352
  4. Step 4: Simplify right side
    3,867,768x = 70,196,782,235,904
  5. Step 5: Solve for x
    x = 70,196,782,235,904/3,867,768
  6. Step 6: Final answer
    x = 18,149,170.85

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