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Finding the Third Proportional to 426,533,074,176 and 888,370,040,016

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Solution

The third proportional to 426,533,074,176 and 888,370,040,016 is: 1,850,269,945,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,533,074,176 : 888,370,040,016 = 888,370,040,016 : x
  2. Step 2: Convert to fraction form
    426,533,074,176/888,370,040,016 = 888,370,040,016/x
  3. Step 3: Cross multiply
    426,533,074,176x = 888,370,040,016 × 888,370,040,016
  4. Step 4: Simplify right side
    426,533,074,176x = 789,201,327,998,029,432,619,008
  5. Step 5: Solve for x
    x = 789,201,327,998,029,432,619,008/426,533,074,176
  6. Step 6: Final answer
    x = 1,850,269,945,707.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.