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Finding the Third Proportional to 6,958,754,880,326 and 14,115,930,033,922

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Solution

The third proportional to 6,958,754,880,326 and 14,115,930,033,922 is: 28,634,358,322,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958,754,880,326 : 14,115,930,033,922 = 14,115,930,033,922 : x
  2. Step 2: Convert to fraction form
    6,958,754,880,326/14,115,930,033,922 = 14,115,930,033,922/x
  3. Step 3: Cross multiply
    6,958,754,880,326x = 14,115,930,033,922 × 14,115,930,033,922
  4. Step 4: Simplify right side
    6,958,754,880,326x = 199,259,480,722,581,165,074,022,400
  5. Step 5: Solve for x
    x = 199,259,480,722,581,165,074,022,400/6,958,754,880,326
  6. Step 6: Final answer
    x = 28,634,358,322,626.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.