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Finding the Third Proportional to 1,606,863,832 and 3,481,876,512

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Solution

The third proportional to 1,606,863,832 and 3,481,876,512 is: 7,544,798,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,863,832 : 3,481,876,512 = 3,481,876,512 : x
  2. Step 2: Convert to fraction form
    1,606,863,832/3,481,876,512 = 3,481,876,512/x
  3. Step 3: Cross multiply
    1,606,863,832x = 3,481,876,512 × 3,481,876,512
  4. Step 4: Simplify right side
    1,606,863,832x = 12,123,464,044,817,285,120
  5. Step 5: Solve for x
    x = 12,123,464,044,817,285,120/1,606,863,832
  6. Step 6: Final answer
    x = 7,544,798,634.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.