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Finding the Third Proportional to 8,002,163,698,904 and 10,796,797,694,170

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Solution

The third proportional to 8,002,163,698,904 and 10,796,797,694,170 is: 14,567,415,118,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002,163,698,904 : 10,796,797,694,170 = 10,796,797,694,170 : x
  2. Step 2: Convert to fraction form
    8,002,163,698,904/10,796,797,694,170 = 10,796,797,694,170/x
  3. Step 3: Cross multiply
    8,002,163,698,904x = 10,796,797,694,170 × 10,796,797,694,170
  4. Step 4: Simplify right side
    8,002,163,698,904x = 116,570,840,448,834,631,335,149,568
  5. Step 5: Solve for x
    x = 116,570,840,448,834,631,335,149,568/8,002,163,698,904
  6. Step 6: Final answer
    x = 14,567,415,118,588.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.