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Finding the Third Proportional to 31,836,928,563 and 68,146,189,020

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Solution

The third proportional to 31,836,928,563 and 68,146,189,020 is: 145,865,298,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836,928,563 : 68,146,189,020 = 68,146,189,020 : x
  2. Step 2: Convert to fraction form
    31,836,928,563/68,146,189,020 = 68,146,189,020/x
  3. Step 3: Cross multiply
    31,836,928,563x = 68,146,189,020 × 68,146,189,020
  4. Step 4: Simplify right side
    31,836,928,563x = 4,643,903,077,949,568,450,560
  5. Step 5: Solve for x
    x = 4,643,903,077,949,568,450,560/31,836,928,563
  6. Step 6: Final answer
    x = 145,865,298,179.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.