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Finding the Third Proportional to 67,965,627,964 and 106,618,015,158

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Solution

The third proportional to 67,965,627,964 and 106,618,015,158 is: 167,252,205,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965,627,964 : 106,618,015,158 = 106,618,015,158 : x
  2. Step 2: Convert to fraction form
    67,965,627,964/106,618,015,158 = 106,618,015,158/x
  3. Step 3: Cross multiply
    67,965,627,964x = 106,618,015,158 × 106,618,015,158
  4. Step 4: Simplify right side
    67,965,627,964x = 11,367,401,156,231,517,175,808
  5. Step 5: Solve for x
    x = 11,367,401,156,231,517,175,808/67,965,627,964
  6. Step 6: Final answer
    x = 167,252,205,221.33

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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.