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Finding the Third Proportional to 23,275,971 and 50,580,821.25

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Solution

The third proportional to 23,275,971 and 50,580,821.25 is: 109,916,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275,971 : 50,580,821.25 = 50,580,821.25 : x
  2. Step 2: Convert to fraction form
    23,275,971/50,580,821.25 = 50,580,821.25/x
  3. Step 3: Cross multiply
    23,275,971x = 50,580,821.25 × 50,580,821.25
  4. Step 4: Simplify right side
    23,275,971x = 2,558,419,478,324,451.50
  5. Step 5: Solve for x
    x = 2,558,419,478,324,451.50/23,275,971
  6. Step 6: Final answer
    x = 109,916,766.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.