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Finding the Third Proportional to 11,843,414 and 24,617,248

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Solution

The third proportional to 11,843,414 and 24,617,248 is: 51,168,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843,414 : 24,617,248 = 24,617,248 : x
  2. Step 2: Convert to fraction form
    11,843,414/24,617,248 = 24,617,248/x
  3. Step 3: Cross multiply
    11,843,414x = 24,617,248 × 24,617,248
  4. Step 4: Simplify right side
    11,843,414x = 606,008,899,093,504
  5. Step 5: Solve for x
    x = 606,008,899,093,504/11,843,414
  6. Step 6: Final answer
    x = 51,168,429.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.