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Finding the Third Proportional to 31,265,910 and 68,892,711

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Solution

The third proportional to 31,265,910 and 68,892,711 is: 151,801,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265,910 : 68,892,711 = 68,892,711 : x
  2. Step 2: Convert to fraction form
    31,265,910/68,892,711 = 68,892,711/x
  3. Step 3: Cross multiply
    31,265,910x = 68,892,711 × 68,892,711
  4. Step 4: Simplify right side
    31,265,910x = 4,746,205,628,929,521
  5. Step 5: Solve for x
    x = 4,746,205,628,929,521/31,265,910
  6. Step 6: Final answer
    x = 151,801,295.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.