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Finding the Third Proportional to 3,433,143,105 and 7,415,126,874

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Solution

The third proportional to 3,433,143,105 and 7,415,126,874 is: 16,015,675,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,143,105 : 7,415,126,874 = 7,415,126,874 : x
  2. Step 2: Convert to fraction form
    3,433,143,105/7,415,126,874 = 7,415,126,874/x
  3. Step 3: Cross multiply
    3,433,143,105x = 7,415,126,874 × 7,415,126,874
  4. Step 4: Simplify right side
    3,433,143,105x = 54,984,106,557,517,012,992
  5. Step 5: Solve for x
    x = 54,984,106,557,517,012,992/3,433,143,105
  6. Step 6: Final answer
    x = 16,015,675,687.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.