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Finding the Third Proportional to 35,280,162 and 75,965,373

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Solution

The third proportional to 35,280,162 and 75,965,373 is: 163,568,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,280,162 : 75,965,373 = 75,965,373 : x
  2. Step 2: Convert to fraction form
    35,280,162/75,965,373 = 75,965,373/x
  3. Step 3: Cross multiply
    35,280,162x = 75,965,373 × 75,965,373
  4. Step 4: Simplify right side
    35,280,162x = 5,770,737,895,029,129
  5. Step 5: Solve for x
    x = 5,770,737,895,029,129/35,280,162
  6. Step 6: Final answer
    x = 163,568,917.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.