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Finding the Third Proportional to 484,261,707,052 and 1,040,389,410,298

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Solution

The third proportional to 484,261,707,052 and 1,040,389,410,298 is: 2,235,175,958,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,261,707,052 : 1,040,389,410,298 = 1,040,389,410,298 : x
  2. Step 2: Convert to fraction form
    484,261,707,052/1,040,389,410,298 = 1,040,389,410,298/x
  3. Step 3: Cross multiply
    484,261,707,052x = 1,040,389,410,298 × 1,040,389,410,298
  4. Step 4: Simplify right side
    484,261,707,052x = 1,082,410,125,060,220,217,458,688
  5. Step 5: Solve for x
    x = 1,082,410,125,060,220,217,458,688/484,261,707,052
  6. Step 6: Final answer
    x = 2,235,175,958,160.14

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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.