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Finding the Third Proportional to 3,837,867 and 8,273,575

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Solution

The third proportional to 3,837,867 and 8,273,575 is: 17,835,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,867 : 8,273,575 = 8,273,575 : x
  2. Step 2: Convert to fraction form
    3,837,867/8,273,575 = 8,273,575/x
  3. Step 3: Cross multiply
    3,837,867x = 8,273,575 × 8,273,575
  4. Step 4: Simplify right side
    3,837,867x = 68,452,043,280,625
  5. Step 5: Solve for x
    x = 68,452,043,280,625/3,837,867
  6. Step 6: Final answer
    x = 17,835,960.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.