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Finding the Third Proportional to 11,741,583 and 23,813,448

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Solution

The third proportional to 11,741,583 and 23,813,448 is: 48,296,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,583 : 23,813,448 = 23,813,448 : x
  2. Step 2: Convert to fraction form
    11,741,583/23,813,448 = 23,813,448/x
  3. Step 3: Cross multiply
    11,741,583x = 23,813,448 × 23,813,448
  4. Step 4: Simplify right side
    11,741,583x = 567,080,305,648,704
  5. Step 5: Solve for x
    x = 567,080,305,648,704/11,741,583
  6. Step 6: Final answer
    x = 48,296,750.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.