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Finding the Third Proportional to 2,202,006 and 4,837,037.25

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Solution

The third proportional to 2,202,006 and 4,837,037.25 is: 10,625,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,006 : 4,837,037.25 = 4,837,037.25 : x
  2. Step 2: Convert to fraction form
    2,202,006/4,837,037.25 = 4,837,037.25/x
  3. Step 3: Cross multiply
    2,202,006x = 4,837,037.25 × 4,837,037.25
  4. Step 4: Simplify right side
    2,202,006x = 23,396,929,357,887.56
  5. Step 5: Solve for x
    x = 23,396,929,357,887.56/2,202,006
  6. Step 6: Final answer
    x = 10,625,279.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.