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Finding the Third Proportional to 3,695,040,455.91 and 7,651,998,307.41

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Solution

The third proportional to 3,695,040,455.91 and 7,651,998,307.41 is: 15,846,397,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695,040,455.91 : 7,651,998,307.41 = 7,651,998,307.41 : x
  2. Step 2: Convert to fraction form
    3,695,040,455.91/7,651,998,307.41 = 7,651,998,307.41/x
  3. Step 3: Cross multiply
    3,695,040,455.91x = 7,651,998,307.41 × 7,651,998,307.41
  4. Step 4: Simplify right side
    3,695,040,455.91x = 58,553,078,096,544,292,864
  5. Step 5: Solve for x
    x = 58,553,078,096,544,292,864/3,695,040,455.91
  6. Step 6: Final answer
    x = 15,846,397,027.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.