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Finding the Third Proportional to 7,707,074 and 16,787,210

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Solution

The third proportional to 7,707,074 and 16,787,210 is: 36,565,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,074 : 16,787,210 = 16,787,210 : x
  2. Step 2: Convert to fraction form
    7,707,074/16,787,210 = 16,787,210/x
  3. Step 3: Cross multiply
    7,707,074x = 16,787,210 × 16,787,210
  4. Step 4: Simplify right side
    7,707,074x = 281,810,419,584,100
  5. Step 5: Solve for x
    x = 281,810,419,584,100/7,707,074
  6. Step 6: Final answer
    x = 36,565,163.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.