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Finding the Third Proportional to 3,613,475.25 and 7,822,353.75

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Solution

The third proportional to 3,613,475.25 and 7,822,353.75 is: 16,933,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,475.25 : 7,822,353.75 = 7,822,353.75 : x
  2. Step 2: Convert to fraction form
    3,613,475.25/7,822,353.75 = 7,822,353.75/x
  3. Step 3: Cross multiply
    3,613,475.25x = 7,822,353.75 × 7,822,353.75
  4. Step 4: Simplify right side
    3,613,475.25x = 61,189,218,190,139.06
  5. Step 5: Solve for x
    x = 61,189,218,190,139.06/3,613,475.25
  6. Step 6: Final answer
    x = 16,933,620.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.