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Finding the Third Proportional to 3,728,672 and 7,945,408

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Solution

The third proportional to 3,728,672 and 7,945,408 is: 16,930,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,672 : 7,945,408 = 7,945,408 : x
  2. Step 2: Convert to fraction form
    3,728,672/7,945,408 = 7,945,408/x
  3. Step 3: Cross multiply
    3,728,672x = 7,945,408 × 7,945,408
  4. Step 4: Simplify right side
    3,728,672x = 63,129,508,286,464
  5. Step 5: Solve for x
    x = 63,129,508,286,464/3,728,672
  6. Step 6: Final answer
    x = 16,930,829.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.