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Finding the Third Proportional to 2,425,225 and 5,281,016

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Solution

The third proportional to 2,425,225 and 5,281,016 is: 11,499,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,225 : 5,281,016 = 5,281,016 : x
  2. Step 2: Convert to fraction form
    2,425,225/5,281,016 = 5,281,016/x
  3. Step 3: Cross multiply
    2,425,225x = 5,281,016 × 5,281,016
  4. Step 4: Simplify right side
    2,425,225x = 27,889,129,992,256
  5. Step 5: Solve for x
    x = 27,889,129,992,256/2,425,225
  6. Step 6: Final answer
    x = 11,499,605.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.