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Finding the Third Proportional to 7,768,471 and 16,170,079

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Solution

The third proportional to 7,768,471 and 16,170,079 is: 33,658,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,471 : 16,170,079 = 16,170,079 : x
  2. Step 2: Convert to fraction form
    7,768,471/16,170,079 = 16,170,079/x
  3. Step 3: Cross multiply
    7,768,471x = 16,170,079 × 16,170,079
  4. Step 4: Simplify right side
    7,768,471x = 261,471,454,866,241
  5. Step 5: Solve for x
    x = 261,471,454,866,241/7,768,471
  6. Step 6: Final answer
    x = 33,658,033.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.