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Finding the Third Proportional to 2,729,086,183 and 4,192,210,250

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Solution

The third proportional to 2,729,086,183 and 4,192,210,250 is: 6,439,747,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,086,183 : 4,192,210,250 = 4,192,210,250 : x
  2. Step 2: Convert to fraction form
    2,729,086,183/4,192,210,250 = 4,192,210,250/x
  3. Step 3: Cross multiply
    2,729,086,183x = 4,192,210,250 × 4,192,210,250
  4. Step 4: Simplify right side
    2,729,086,183x = 17,574,626,780,205,062,144
  5. Step 5: Solve for x
    x = 17,574,626,780,205,062,144/2,729,086,183
  6. Step 6: Final answer
    x = 6,439,747,813.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.