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Finding the Third Proportional to 7,612,407 and 11,659,727.25

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Solution

The third proportional to 7,612,407 and 11,659,727.25 is: 17,858,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,407 : 11,659,727.25 = 11,659,727.25 : x
  2. Step 2: Convert to fraction form
    7,612,407/11,659,727.25 = 11,659,727.25/x
  3. Step 3: Cross multiply
    7,612,407x = 11,659,727.25 × 11,659,727.25
  4. Step 4: Simplify right side
    7,612,407x = 135,949,239,544,392.56
  5. Step 5: Solve for x
    x = 135,949,239,544,392.56/7,612,407
  6. Step 6: Final answer
    x = 17,858,903.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.