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Finding the Third Proportional to 2,703,613,529,349 and 5,729,560,905,546

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Solution

The third proportional to 2,703,613,529,349 and 5,729,560,905,546 is: 12,142,219,224,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,613,529,349 : 5,729,560,905,546 = 5,729,560,905,546 : x
  2. Step 2: Convert to fraction form
    2,703,613,529,349/5,729,560,905,546 = 5,729,560,905,546/x
  3. Step 3: Cross multiply
    2,703,613,529,349x = 5,729,560,905,546 × 5,729,560,905,546
  4. Step 4: Simplify right side
    2,703,613,529,349x = 32,827,868,170,361,098,138,025,984
  5. Step 5: Solve for x
    x = 32,827,868,170,361,098,138,025,984/2,703,613,529,349
  6. Step 6: Final answer
    x = 12,142,219,224,012.27

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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.