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Finding the Third Proportional to 5,241,665.25 and 11,212,013.25

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Solution

The third proportional to 5,241,665.25 and 11,212,013.25 is: 23,982,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,665.25 : 11,212,013.25 = 11,212,013.25 : x
  2. Step 2: Convert to fraction form
    5,241,665.25/11,212,013.25 = 11,212,013.25/x
  3. Step 3: Cross multiply
    5,241,665.25x = 11,212,013.25 × 11,212,013.25
  4. Step 4: Simplify right side
    5,241,665.25x = 125,709,241,118,175.56
  5. Step 5: Solve for x
    x = 125,709,241,118,175.56/5,241,665.25
  6. Step 6: Final answer
    x = 23,982,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.