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Finding the Third Proportional to 54,740,824 and 76,530,893

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Solution

The third proportional to 54,740,824 and 76,530,893 is: 106,994,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740,824 : 76,530,893 = 76,530,893 : x
  2. Step 2: Convert to fraction form
    54,740,824/76,530,893 = 76,530,893/x
  3. Step 3: Cross multiply
    54,740,824x = 76,530,893 × 76,530,893
  4. Step 4: Simplify right side
    54,740,824x = 5,856,977,583,377,449
  5. Step 5: Solve for x
    x = 5,856,977,583,377,449/54,740,824
  6. Step 6: Final answer
    x = 106,994,691.63

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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.