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Finding the Third Proportional to 484,261,707,055 and 1,040,389,410,304

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Solution

The third proportional to 484,261,707,055 and 1,040,389,410,304 is: 2,235,175,958,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,261,707,055 : 1,040,389,410,304 = 1,040,389,410,304 : x
  2. Step 2: Convert to fraction form
    484,261,707,055/1,040,389,410,304 = 1,040,389,410,304/x
  3. Step 3: Cross multiply
    484,261,707,055x = 1,040,389,410,304 × 1,040,389,410,304
  4. Step 4: Simplify right side
    484,261,707,055x = 1,082,410,125,072,704,882,081,792
  5. Step 5: Solve for x
    x = 1,082,410,125,072,704,882,081,792/484,261,707,055
  6. Step 6: Final answer
    x = 2,235,175,958,172.08

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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.