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Finding the Third Proportional to 732,877,067 and 1,597,440,694

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Solution

The third proportional to 732,877,067 and 1,597,440,694 is: 3,481,916,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,877,067 : 1,597,440,694 = 1,597,440,694 : x
  2. Step 2: Convert to fraction form
    732,877,067/1,597,440,694 = 1,597,440,694/x
  3. Step 3: Cross multiply
    732,877,067x = 1,597,440,694 × 1,597,440,694
  4. Step 4: Simplify right side
    732,877,067x = 2,551,816,770,847,201,792
  5. Step 5: Solve for x
    x = 2,551,816,770,847,201,792/732,877,067
  6. Step 6: Final answer
    x = 3,481,916,525.64

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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.