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Finding the Third Proportional to 34,220,917 and 76,093,091

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Solution

The third proportional to 34,220,917 and 76,093,091 is: 169,199,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,917 : 76,093,091 = 76,093,091 : x
  2. Step 2: Convert to fraction form
    34,220,917/76,093,091 = 76,093,091/x
  3. Step 3: Cross multiply
    34,220,917x = 76,093,091 × 76,093,091
  4. Step 4: Simplify right side
    34,220,917x = 5,790,158,497,934,281
  5. Step 5: Solve for x
    x = 5,790,158,497,934,281/34,220,917
  6. Step 6: Final answer
    x = 169,199,396.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.