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Finding the Third Proportional to 4,667,225 and 7,321,497

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Solution

The third proportional to 4,667,225 and 7,321,497 is: 11,485,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667,225 : 7,321,497 = 7,321,497 : x
  2. Step 2: Convert to fraction form
    4,667,225/7,321,497 = 7,321,497/x
  3. Step 3: Cross multiply
    4,667,225x = 7,321,497 × 7,321,497
  4. Step 4: Simplify right side
    4,667,225x = 53,604,318,321,009
  5. Step 5: Solve for x
    x = 53,604,318,321,009/4,667,225
  6. Step 6: Final answer
    x = 11,485,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.