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Finding the Third Proportional to 7,898,760,576 and 16,451,296,914

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Solution

The third proportional to 7,898,760,576 and 16,451,296,914 is: 34,264,257,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898,760,576 : 16,451,296,914 = 16,451,296,914 : x
  2. Step 2: Convert to fraction form
    7,898,760,576/16,451,296,914 = 16,451,296,914/x
  3. Step 3: Cross multiply
    7,898,760,576x = 16,451,296,914 × 16,451,296,914
  4. Step 4: Simplify right side
    7,898,760,576x = 270,645,170,152,585,920,512
  5. Step 5: Solve for x
    x = 270,645,170,152,585,920,512/7,898,760,576
  6. Step 6: Final answer
    x = 34,264,257,986.87

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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.