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Finding the Third Proportional to 2,694,836,978 and 5,864,201,356

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Solution

The third proportional to 2,694,836,978 and 5,864,201,356 is: 12,761,015,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,836,978 : 5,864,201,356 = 5,864,201,356 : x
  2. Step 2: Convert to fraction form
    2,694,836,978/5,864,201,356 = 5,864,201,356/x
  3. Step 3: Cross multiply
    2,694,836,978x = 5,864,201,356 × 5,864,201,356
  4. Step 4: Simplify right side
    2,694,836,978x = 34,388,857,543,712,239,616
  5. Step 5: Solve for x
    x = 34,388,857,543,712,239,616/2,694,836,978
  6. Step 6: Final answer
    x = 12,761,015,907.25

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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.