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Finding the Third Proportional to 3,165,408 and 7,467,480

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Solution

The third proportional to 3,165,408 and 7,467,480 is: 17,616,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,408 : 7,467,480 = 7,467,480 : x
  2. Step 2: Convert to fraction form
    3,165,408/7,467,480 = 7,467,480/x
  3. Step 3: Cross multiply
    3,165,408x = 7,467,480 × 7,467,480
  4. Step 4: Simplify right side
    3,165,408x = 55,763,257,550,400
  5. Step 5: Solve for x
    x = 55,763,257,550,400/3,165,408
  6. Step 6: Final answer
    x = 17,616,451.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.