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Finding the Third Proportional to 2,225,140.88 and 4,568,242.50

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Solution

The third proportional to 2,225,140.88 and 4,568,242.50 is: 9,378,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,140.88 : 4,568,242.50 = 4,568,242.50 : x
  2. Step 2: Convert to fraction form
    2,225,140.88/4,568,242.50 = 4,568,242.50/x
  3. Step 3: Cross multiply
    2,225,140.88x = 4,568,242.50 × 4,568,242.50
  4. Step 4: Simplify right side
    2,225,140.88x = 20,868,839,538,806.25
  5. Step 5: Solve for x
    x = 20,868,839,538,806.25/2,225,140.88
  6. Step 6: Final answer
    x = 9,378,659.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.