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Finding the Third Proportional to 62,728,743 and 130,612,512

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Solution

The third proportional to 62,728,743 and 130,612,512 is: 271,958,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,728,743 : 130,612,512 = 130,612,512 : x
  2. Step 2: Convert to fraction form
    62,728,743/130,612,512 = 130,612,512/x
  3. Step 3: Cross multiply
    62,728,743x = 130,612,512 × 130,612,512
  4. Step 4: Simplify right side
    62,728,743x = 17,059,628,290,950,144
  5. Step 5: Solve for x
    x = 17,059,628,290,950,144/62,728,743
  6. Step 6: Final answer
    x = 271,958,714.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.