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Finding the Third Proportional to 3,826,446.75 and 8,325,459

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Solution

The third proportional to 3,826,446.75 and 8,325,459 is: 18,114,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,446.75 : 8,325,459 = 8,325,459 : x
  2. Step 2: Convert to fraction form
    3,826,446.75/8,325,459 = 8,325,459/x
  3. Step 3: Cross multiply
    3,826,446.75x = 8,325,459 × 8,325,459
  4. Step 4: Simplify right side
    3,826,446.75x = 69,313,267,560,681
  5. Step 5: Solve for x
    x = 69,313,267,560,681/3,826,446.75
  6. Step 6: Final answer
    x = 18,114,264.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.