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Finding the Third Proportional to 484,261,707,042 and 1,040,389,410,278.20

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Solution

The third proportional to 484,261,707,042 and 1,040,389,410,278.20 is: 2,235,175,958,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,261,707,042 : 1,040,389,410,278.20 = 1,040,389,410,278.20 : x
  2. Step 2: Convert to fraction form
    484,261,707,042/1,040,389,410,278.20 = 1,040,389,410,278.20/x
  3. Step 3: Cross multiply
    484,261,707,042x = 1,040,389,410,278.20 × 1,040,389,410,278.20
  4. Step 4: Simplify right side
    484,261,707,042x = 1,082,410,125,019,020,609,454,080
  5. Step 5: Solve for x
    x = 1,082,410,125,019,020,609,454,080/484,261,707,042
  6. Step 6: Final answer
    x = 2,235,175,958,121.22

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Why These Related Problems?

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