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Finding the Third Proportional to 10,965,530 and 23,761,570

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Solution

The third proportional to 10,965,530 and 23,761,570 is: 51,489,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965,530 : 23,761,570 = 23,761,570 : x
  2. Step 2: Convert to fraction form
    10,965,530/23,761,570 = 23,761,570/x
  3. Step 3: Cross multiply
    10,965,530x = 23,761,570 × 23,761,570
  4. Step 4: Simplify right side
    10,965,530x = 564,612,208,864,900
  5. Step 5: Solve for x
    x = 564,612,208,864,900/10,965,530
  6. Step 6: Final answer
    x = 51,489,732.72

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