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Finding the Third Proportional to 3,787,962 and 8,284,512

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Solution

The third proportional to 3,787,962 and 8,284,512 is: 18,118,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,962 : 8,284,512 = 8,284,512 : x
  2. Step 2: Convert to fraction form
    3,787,962/8,284,512 = 8,284,512/x
  3. Step 3: Cross multiply
    3,787,962x = 8,284,512 × 8,284,512
  4. Step 4: Simplify right side
    3,787,962x = 68,633,139,078,144
  5. Step 5: Solve for x
    x = 68,633,139,078,144/3,787,962
  6. Step 6: Final answer
    x = 18,118,750.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.