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Finding the Third Proportional to 35,220,816 and 76,694,367

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Solution

The third proportional to 35,220,816 and 76,694,367 is: 167,004,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220,816 : 76,694,367 = 76,694,367 : x
  2. Step 2: Convert to fraction form
    35,220,816/76,694,367 = 76,694,367/x
  3. Step 3: Cross multiply
    35,220,816x = 76,694,367 × 76,694,367
  4. Step 4: Simplify right side
    35,220,816x = 5,882,025,929,530,689
  5. Step 5: Solve for x
    x = 5,882,025,929,530,689/35,220,816
  6. Step 6: Final answer
    x = 167,004,249.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.