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Finding the Third Proportional to 7,951,112 and 17,161,168

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Solution

The third proportional to 7,951,112 and 17,161,168 is: 37,039,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951,112 : 17,161,168 = 17,161,168 : x
  2. Step 2: Convert to fraction form
    7,951,112/17,161,168 = 17,161,168/x
  3. Step 3: Cross multiply
    7,951,112x = 17,161,168 × 17,161,168
  4. Step 4: Simplify right side
    7,951,112x = 294,505,687,124,224
  5. Step 5: Solve for x
    x = 294,505,687,124,224/7,951,112
  6. Step 6: Final answer
    x = 37,039,559.64

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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.