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Finding the Third Proportional to 31,595,042,466 and 65,805,188,022

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Solution

The third proportional to 31,595,042,466 and 65,805,188,022 is: 137,057,032,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595,042,466 : 65,805,188,022 = 65,805,188,022 : x
  2. Step 2: Convert to fraction form
    31,595,042,466/65,805,188,022 = 65,805,188,022/x
  3. Step 3: Cross multiply
    31,595,042,466x = 65,805,188,022 × 65,805,188,022
  4. Step 4: Simplify right side
    31,595,042,466x = 4,330,322,770,610,772,508,672
  5. Step 5: Solve for x
    x = 4,330,322,770,610,772,508,672/31,595,042,466
  6. Step 6: Final answer
    x = 137,057,032,769.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.