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Finding the Third Proportional to 3,787,977 and 8,284,545

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Solution

The third proportional to 3,787,977 and 8,284,545 is: 18,118,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,977 : 8,284,545 = 8,284,545 : x
  2. Step 2: Convert to fraction form
    3,787,977/8,284,545 = 8,284,545/x
  3. Step 3: Cross multiply
    3,787,977x = 8,284,545 × 8,284,545
  4. Step 4: Simplify right side
    3,787,977x = 68,633,685,857,025
  5. Step 5: Solve for x
    x = 68,633,685,857,025/3,787,977
  6. Step 6: Final answer
    x = 18,118,823.28

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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.