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Finding the Third Proportional to 2,267,499.75 and 4,933,563

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Solution

The third proportional to 2,267,499.75 and 4,933,563 is: 10,734,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,499.75 : 4,933,563 = 4,933,563 : x
  2. Step 2: Convert to fraction form
    2,267,499.75/4,933,563 = 4,933,563/x
  3. Step 3: Cross multiply
    2,267,499.75x = 4,933,563 × 4,933,563
  4. Step 4: Simplify right side
    2,267,499.75x = 24,340,043,874,969
  5. Step 5: Solve for x
    x = 24,340,043,874,969/2,267,499.75
  6. Step 6: Final answer
    x = 10,734,309.40

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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.