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Finding the Third Proportional to 3,822,408 and 8,400,150

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Solution

The third proportional to 3,822,408 and 8,400,150 is: 18,460,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,408 : 8,400,150 = 8,400,150 : x
  2. Step 2: Convert to fraction form
    3,822,408/8,400,150 = 8,400,150/x
  3. Step 3: Cross multiply
    3,822,408x = 8,400,150 × 8,400,150
  4. Step 4: Simplify right side
    3,822,408x = 70,562,520,022,500
  5. Step 5: Solve for x
    x = 70,562,520,022,500/3,822,408
  6. Step 6: Final answer
    x = 18,460,227.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.