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Finding the Third Proportional to 3,787,986 and 8,284,564

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Solution

The third proportional to 3,787,986 and 8,284,564 is: 18,118,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,986 : 8,284,564 = 8,284,564 : x
  2. Step 2: Convert to fraction form
    3,787,986/8,284,564 = 8,284,564/x
  3. Step 3: Cross multiply
    3,787,986x = 8,284,564 × 8,284,564
  4. Step 4: Simplify right side
    3,787,986x = 68,634,000,670,096
  5. Step 5: Solve for x
    x = 68,634,000,670,096/3,787,986
  6. Step 6: Final answer
    x = 18,118,863.34

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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.