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Finding the Third Proportional to 2,080,940,413.50 and 3,006,599,544

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Solution

The third proportional to 2,080,940,413.50 and 3,006,599,544 is: 4,344,017,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,940,413.50 : 3,006,599,544 = 3,006,599,544 : x
  2. Step 2: Convert to fraction form
    2,080,940,413.50/3,006,599,544 = 3,006,599,544/x
  3. Step 3: Cross multiply
    2,080,940,413.50x = 3,006,599,544 × 3,006,599,544
  4. Step 4: Simplify right side
    2,080,940,413.50x = 9,039,640,817,981,007,872
  5. Step 5: Solve for x
    x = 9,039,640,817,981,007,872/2,080,940,413.50
  6. Step 6: Final answer
    x = 4,344,017,137.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.