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Finding the Third Proportional to 2,408,872.50 and 5,017,551.75

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Solution

The third proportional to 2,408,872.50 and 5,017,551.75 is: 10,451,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,872.50 : 5,017,551.75 = 5,017,551.75 : x
  2. Step 2: Convert to fraction form
    2,408,872.50/5,017,551.75 = 5,017,551.75/x
  3. Step 3: Cross multiply
    2,408,872.50x = 5,017,551.75 × 5,017,551.75
  4. Step 4: Simplify right side
    2,408,872.50x = 25,175,825,563,928.06
  5. Step 5: Solve for x
    x = 25,175,825,563,928.06/2,408,872.50
  6. Step 6: Final answer
    x = 10,451,290.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.