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Finding the Third Proportional to 17,475,414 and 27,353,601

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Solution

The third proportional to 17,475,414 and 27,353,601 is: 42,815,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475,414 : 27,353,601 = 27,353,601 : x
  2. Step 2: Convert to fraction form
    17,475,414/27,353,601 = 27,353,601/x
  3. Step 3: Cross multiply
    17,475,414x = 27,353,601 × 27,353,601
  4. Step 4: Simplify right side
    17,475,414x = 748,219,487,667,201
  5. Step 5: Solve for x
    x = 748,219,487,667,201/17,475,414
  6. Step 6: Final answer
    x = 42,815,551.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.