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Finding the Third Proportional to 411,342,310.75 and 889,777,201.25

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Solution

The third proportional to 411,342,310.75 and 889,777,201.25 is: 1,924,682,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,342,310.75 : 889,777,201.25 = 889,777,201.25 : x
  2. Step 2: Convert to fraction form
    411,342,310.75/889,777,201.25 = 889,777,201.25/x
  3. Step 3: Cross multiply
    411,342,310.75x = 889,777,201.25 × 889,777,201.25
  4. Step 4: Simplify right side
    411,342,310.75x = 791,703,467,864,283,008
  5. Step 5: Solve for x
    x = 791,703,467,864,283,008/411,342,310.75
  6. Step 6: Final answer
    x = 1,924,682,793.80

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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.