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Finding the Third Proportional to 69,895,857 and 109,407,084

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Solution

The third proportional to 69,895,857 and 109,407,084 is: 171,253,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,895,857 : 109,407,084 = 109,407,084 : x
  2. Step 2: Convert to fraction form
    69,895,857/109,407,084 = 109,407,084/x
  3. Step 3: Cross multiply
    69,895,857x = 109,407,084 × 109,407,084
  4. Step 4: Simplify right side
    69,895,857x = 11,969,910,029,383,056
  5. Step 5: Solve for x
    x = 11,969,910,029,383,056/69,895,857
  6. Step 6: Final answer
    x = 171,253,498.32

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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.