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Finding the Third Proportional to 9,659,112 and 20,111,376

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Solution

The third proportional to 9,659,112 and 20,111,376 is: 41,874,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,112 : 20,111,376 = 20,111,376 : x
  2. Step 2: Convert to fraction form
    9,659,112/20,111,376 = 20,111,376/x
  3. Step 3: Cross multiply
    9,659,112x = 20,111,376 × 20,111,376
  4. Step 4: Simplify right side
    9,659,112x = 404,467,444,613,376
  5. Step 5: Solve for x
    x = 404,467,444,613,376/9,659,112
  6. Step 6: Final answer
    x = 41,874,185.19

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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.