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Finding the Third Proportional to 11,511,396 and 24,764,735.25

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Solution

The third proportional to 11,511,396 and 24,764,735.25 is: 53,276,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511,396 : 24,764,735.25 = 24,764,735.25 : x
  2. Step 2: Convert to fraction form
    11,511,396/24,764,735.25 = 24,764,735.25/x
  3. Step 3: Cross multiply
    11,511,396x = 24,764,735.25 × 24,764,735.25
  4. Step 4: Simplify right side
    11,511,396x = 613,292,112,002,592.50
  5. Step 5: Solve for x
    x = 613,292,112,002,592.50/11,511,396
  6. Step 6: Final answer
    x = 53,276,953.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.