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Finding the Third Proportional to 11,979,414 and 17,963,262

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Solution

The third proportional to 11,979,414 and 17,963,262 is: 26,936,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,979,414 : 17,963,262 = 17,963,262 : x
  2. Step 2: Convert to fraction form
    11,979,414/17,963,262 = 17,963,262/x
  3. Step 3: Cross multiply
    11,979,414x = 17,963,262 × 17,963,262
  4. Step 4: Simplify right side
    11,979,414x = 322,678,781,680,644
  5. Step 5: Solve for x
    x = 322,678,781,680,644/11,979,414
  6. Step 6: Final answer
    x = 26,936,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.