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Finding the Third Proportional to 51,440,976 and 110,958,786

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Solution

The third proportional to 51,440,976 and 110,958,786 is: 239,339,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,440,976 : 110,958,786 = 110,958,786 : x
  2. Step 2: Convert to fraction form
    51,440,976/110,958,786 = 110,958,786/x
  3. Step 3: Cross multiply
    51,440,976x = 110,958,786 × 110,958,786
  4. Step 4: Simplify right side
    51,440,976x = 12,311,852,190,593,796
  5. Step 5: Solve for x
    x = 12,311,852,190,593,796/51,440,976
  6. Step 6: Final answer
    x = 239,339,397.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.