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Finding the Third Proportional to 17,258,809,616,380 and 37,555,864,907,368

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Solution

The third proportional to 17,258,809,616,380 and 37,555,864,907,368 is: 81,723,074,782,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258,809,616,380 : 37,555,864,907,368 = 37,555,864,907,368 : x
  2. Step 2: Convert to fraction form
    17,258,809,616,380/37,555,864,907,368 = 37,555,864,907,368/x
  3. Step 3: Cross multiply
    17,258,809,616,380x = 37,555,864,907,368 × 37,555,864,907,368
  4. Step 4: Simplify right side
    17,258,809,616,380x = 1,410,442,988,940,475,185,768,693,760
  5. Step 5: Solve for x
    x = 1,410,442,988,940,475,185,768,693,760/17,258,809,616,380
  6. Step 6: Final answer
    x = 81,723,074,782,738.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.