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Finding the Third Proportional to 7,621,625 and 16,348,414

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Solution

The third proportional to 7,621,625 and 16,348,414 is: 35,067,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,621,625 : 16,348,414 = 16,348,414 : x
  2. Step 2: Convert to fraction form
    7,621,625/16,348,414 = 16,348,414/x
  3. Step 3: Cross multiply
    7,621,625x = 16,348,414 × 16,348,414
  4. Step 4: Simplify right side
    7,621,625x = 267,270,640,315,396
  5. Step 5: Solve for x
    x = 267,270,640,315,396/7,621,625
  6. Step 6: Final answer
    x = 35,067,408.89

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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.