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Finding the Third Proportional to 3,709,677,413 and 8,000,469,067

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Solution

The third proportional to 3,709,677,413 and 8,000,469,067 is: 17,254,197,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,677,413 : 8,000,469,067 = 8,000,469,067 : x
  2. Step 2: Convert to fraction form
    3,709,677,413/8,000,469,067 = 8,000,469,067/x
  3. Step 3: Cross multiply
    3,709,677,413x = 8,000,469,067 × 8,000,469,067
  4. Step 4: Simplify right side
    3,709,677,413x = 64,007,505,292,023,848,960
  5. Step 5: Solve for x
    x = 64,007,505,292,023,848,960/3,709,677,413
  6. Step 6: Final answer
    x = 17,254,197,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.