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Finding the Third Proportional to 3,000,288 and 6,469,692

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Solution

The third proportional to 3,000,288 and 6,469,692 is: 13,950,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,288 : 6,469,692 = 6,469,692 : x
  2. Step 2: Convert to fraction form
    3,000,288/6,469,692 = 6,469,692/x
  3. Step 3: Cross multiply
    3,000,288x = 6,469,692 × 6,469,692
  4. Step 4: Simplify right side
    3,000,288x = 41,856,914,574,864
  5. Step 5: Solve for x
    x = 41,856,914,574,864/3,000,288
  6. Step 6: Final answer
    x = 13,950,965.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.