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Finding the Third Proportional to 484,261,707,050.50 and 1,040,389,410,296

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Solution

The third proportional to 484,261,707,050.50 and 1,040,389,410,296 is: 2,235,175,958,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,261,707,050.50 : 1,040,389,410,296 = 1,040,389,410,296 : x
  2. Step 2: Convert to fraction form
    484,261,707,050.50/1,040,389,410,296 = 1,040,389,410,296/x
  3. Step 3: Cross multiply
    484,261,707,050.50x = 1,040,389,410,296 × 1,040,389,410,296
  4. Step 4: Simplify right side
    484,261,707,050.50x = 1,082,410,125,056,058,662,584,320
  5. Step 5: Solve for x
    x = 1,082,410,125,056,058,662,584,320/484,261,707,050.50
  6. Step 6: Final answer
    x = 2,235,175,958,158.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.