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Finding the Third Proportional to 67,965,627,967 and 106,618,015,163

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Solution

The third proportional to 67,965,627,967 and 106,618,015,163 is: 167,252,205,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965,627,967 : 106,618,015,163 = 106,618,015,163 : x
  2. Step 2: Convert to fraction form
    67,965,627,967/106,618,015,163 = 106,618,015,163/x
  3. Step 3: Cross multiply
    67,965,627,967x = 106,618,015,163 × 106,618,015,163
  4. Step 4: Simplify right side
    67,965,627,967x = 11,367,401,157,297,698,766,848
  5. Step 5: Solve for x
    x = 11,367,401,157,297,698,766,848/67,965,627,967
  6. Step 6: Final answer
    x = 167,252,205,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.