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Finding the Third Proportional to 54,740,844 and 76,530,924

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Solution

The third proportional to 54,740,844 and 76,530,924 is: 106,994,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740,844 : 76,530,924 = 76,530,924 : x
  2. Step 2: Convert to fraction form
    54,740,844/76,530,924 = 76,530,924/x
  3. Step 3: Cross multiply
    54,740,844x = 76,530,924 × 76,530,924
  4. Step 4: Simplify right side
    54,740,844x = 5,856,982,328,293,776
  5. Step 5: Solve for x
    x = 5,856,982,328,293,776/54,740,844
  6. Step 6: Final answer
    x = 106,994,739.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.