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Finding the Third Proportional to 3,675,420 and 7,787,256

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Solution

The third proportional to 3,675,420 and 7,787,256 is: 16,499,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675,420 : 7,787,256 = 7,787,256 : x
  2. Step 2: Convert to fraction form
    3,675,420/7,787,256 = 7,787,256/x
  3. Step 3: Cross multiply
    3,675,420x = 7,787,256 × 7,787,256
  4. Step 4: Simplify right side
    3,675,420x = 60,641,356,009,536
  5. Step 5: Solve for x
    x = 60,641,356,009,536/3,675,420
  6. Step 6: Final answer
    x = 16,499,163.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.