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Finding the Third Proportional to 3,324,002 and 7,144,512

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Solution

The third proportional to 3,324,002 and 7,144,512 is: 15,356,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324,002 : 7,144,512 = 7,144,512 : x
  2. Step 2: Convert to fraction form
    3,324,002/7,144,512 = 7,144,512/x
  3. Step 3: Cross multiply
    3,324,002x = 7,144,512 × 7,144,512
  4. Step 4: Simplify right side
    3,324,002x = 51,044,051,718,144
  5. Step 5: Solve for x
    x = 51,044,051,718,144/3,324,002
  6. Step 6: Final answer
    x = 15,356,203.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.