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Finding the Third Proportional to 426,533,073,858 and 888,370,039,404

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Solution

The third proportional to 426,533,073,858 and 888,370,039,404 is: 1,850,269,944,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,533,073,858 : 888,370,039,404 = 888,370,039,404 : x
  2. Step 2: Convert to fraction form
    426,533,073,858/888,370,039,404 = 888,370,039,404/x
  3. Step 3: Cross multiply
    426,533,073,858x = 888,370,039,404 × 888,370,039,404
  4. Step 4: Simplify right side
    426,533,073,858x = 789,201,326,910,664,509,227,008
  5. Step 5: Solve for x
    x = 789,201,326,910,664,509,227,008/426,533,073,858
  6. Step 6: Final answer
    x = 1,850,269,944,537.53

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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.