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Finding the Third Proportional to 2,656,203 and 5,631,613.50

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Solution

The third proportional to 2,656,203 and 5,631,613.50 is: 11,940,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,203 : 5,631,613.50 = 5,631,613.50 : x
  2. Step 2: Convert to fraction form
    2,656,203/5,631,613.50 = 5,631,613.50/x
  3. Step 3: Cross multiply
    2,656,203x = 5,631,613.50 × 5,631,613.50
  4. Step 4: Simplify right side
    2,656,203x = 31,715,070,613,382.25
  5. Step 5: Solve for x
    x = 31,715,070,613,382.25/2,656,203
  6. Step 6: Final answer
    x = 11,940,002.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.