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Finding the Third Proportional to 3,434,400 and 7,458,768

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Solution

The third proportional to 3,434,400 and 7,458,768 is: 16,198,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,400 : 7,458,768 = 7,458,768 : x
  2. Step 2: Convert to fraction form
    3,434,400/7,458,768 = 7,458,768/x
  3. Step 3: Cross multiply
    3,434,400x = 7,458,768 × 7,458,768
  4. Step 4: Simplify right side
    3,434,400x = 55,633,220,077,824
  5. Step 5: Solve for x
    x = 55,633,220,077,824/3,434,400
  6. Step 6: Final answer
    x = 16,198,817.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.