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Finding the Third Proportional to 467,040,769,704 and 1,019,690,301,384

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Solution

The third proportional to 467,040,769,704 and 1,019,690,301,384 is: 2,226,290,247,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,040,769,704 : 1,019,690,301,384 = 1,019,690,301,384 : x
  2. Step 2: Convert to fraction form
    467,040,769,704/1,019,690,301,384 = 1,019,690,301,384/x
  3. Step 3: Cross multiply
    467,040,769,704x = 1,019,690,301,384 × 1,019,690,301,384
  4. Step 4: Simplify right side
    467,040,769,704x = 1,039,768,310,736,592,801,103,872
  5. Step 5: Solve for x
    x = 1,039,768,310,736,592,801,103,872/467,040,769,704
  6. Step 6: Final answer
    x = 2,226,290,247,413.68

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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.