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Finding the Third Proportional to 4,446,408 and 9,049,968

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Solution

The third proportional to 4,446,408 and 9,049,968 is: 18,419,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446,408 : 9,049,968 = 9,049,968 : x
  2. Step 2: Convert to fraction form
    4,446,408/9,049,968 = 9,049,968/x
  3. Step 3: Cross multiply
    4,446,408x = 9,049,968 × 9,049,968
  4. Step 4: Simplify right side
    4,446,408x = 81,901,920,801,024
  5. Step 5: Solve for x
    x = 81,901,920,801,024/4,446,408
  6. Step 6: Final answer
    x = 18,419,794.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.