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Finding the Third Proportional to 5,749,515 and 11,667,982.50

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Solution

The third proportional to 5,749,515 and 11,667,982.50 is: 23,678,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,515 : 11,667,982.50 = 11,667,982.50 : x
  2. Step 2: Convert to fraction form
    5,749,515/11,667,982.50 = 11,667,982.50/x
  3. Step 3: Cross multiply
    5,749,515x = 11,667,982.50 × 11,667,982.50
  4. Step 4: Simplify right side
    5,749,515x = 136,141,815,620,306.25
  5. Step 5: Solve for x
    x = 136,141,815,620,306.25/5,749,515
  6. Step 6: Final answer
    x = 23,678,834.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.