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Finding the Third Proportional to 11,480,633 and 24,787,591

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Solution

The third proportional to 11,480,633 and 24,787,591 is: 53,518,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480,633 : 24,787,591 = 24,787,591 : x
  2. Step 2: Convert to fraction form
    11,480,633/24,787,591 = 24,787,591/x
  3. Step 3: Cross multiply
    11,480,633x = 24,787,591 × 24,787,591
  4. Step 4: Simplify right side
    11,480,633x = 614,424,667,583,281
  5. Step 5: Solve for x
    x = 614,424,667,583,281/11,480,633
  6. Step 6: Final answer
    x = 53,518,361.54

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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.