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Finding the Third Proportional to 2,703,613,529,344 and 5,729,560,905,536

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Solution

The third proportional to 2,703,613,529,344 and 5,729,560,905,536 is: 12,142,219,223,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,613,529,344 : 5,729,560,905,536 = 5,729,560,905,536 : x
  2. Step 2: Convert to fraction form
    2,703,613,529,344/5,729,560,905,536 = 5,729,560,905,536/x
  3. Step 3: Cross multiply
    2,703,613,529,344x = 5,729,560,905,536 × 5,729,560,905,536
  4. Step 4: Simplify right side
    2,703,613,529,344x = 32,827,868,170,246,508,410,568,704
  5. Step 5: Solve for x
    x = 32,827,868,170,246,508,410,568,704/2,703,613,529,344
  6. Step 6: Final answer
    x = 12,142,219,223,992.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.