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Finding the Third Proportional to 3,053,147,922 and 6,613,274,642.25

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Solution

The third proportional to 3,053,147,922 and 6,613,274,642.25 is: 14,324,691,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,147,922 : 6,613,274,642.25 = 6,613,274,642.25 : x
  2. Step 2: Convert to fraction form
    3,053,147,922/6,613,274,642.25 = 6,613,274,642.25/x
  3. Step 3: Cross multiply
    3,053,147,922x = 6,613,274,642.25 × 6,613,274,642.25
  4. Step 4: Simplify right side
    3,053,147,922x = 43,735,401,493,826,863,104
  5. Step 5: Solve for x
    x = 43,735,401,493,826,863,104/3,053,147,922
  6. Step 6: Final answer
    x = 14,324,691,305.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.