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Finding the Third Proportional to 3,801,408 and 8,272,024

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Solution

The third proportional to 3,801,408 and 8,272,024 is: 18,000,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801,408 : 8,272,024 = 8,272,024 : x
  2. Step 2: Convert to fraction form
    3,801,408/8,272,024 = 8,272,024/x
  3. Step 3: Cross multiply
    3,801,408x = 8,272,024 × 8,272,024
  4. Step 4: Simplify right side
    3,801,408x = 68,426,381,056,576
  5. Step 5: Solve for x
    x = 68,426,381,056,576/3,801,408
  6. Step 6: Final answer
    x = 18,000,272.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.