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Finding the Third Proportional to 2,882,047.50 and 6,209,453.25

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Solution

The third proportional to 2,882,047.50 and 6,209,453.25 is: 13,378,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882,047.50 : 6,209,453.25 = 6,209,453.25 : x
  2. Step 2: Convert to fraction form
    2,882,047.50/6,209,453.25 = 6,209,453.25/x
  3. Step 3: Cross multiply
    2,882,047.50x = 6,209,453.25 × 6,209,453.25
  4. Step 4: Simplify right side
    2,882,047.50x = 38,557,309,663,935.56
  5. Step 5: Solve for x
    x = 38,557,309,663,935.56/2,882,047.50
  6. Step 6: Final answer
    x = 13,378,443.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.