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Finding the Third Proportional to 5,709,920,569 and 8,728,996,067

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Solution

The third proportional to 5,709,920,569 and 8,728,996,067 is: 13,344,383,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,920,569 : 8,728,996,067 = 8,728,996,067 : x
  2. Step 2: Convert to fraction form
    5,709,920,569/8,728,996,067 = 8,728,996,067/x
  3. Step 3: Cross multiply
    5,709,920,569x = 8,728,996,067 × 8,728,996,067
  4. Step 4: Simplify right side
    5,709,920,569x = 76,195,372,337,701,470,208
  5. Step 5: Solve for x
    x = 76,195,372,337,701,470,208/5,709,920,569
  6. Step 6: Final answer
    x = 13,344,383,939.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.