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Finding the Third Proportional to 12,786,680 and 27,387,112

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Solution

The third proportional to 12,786,680 and 27,387,112 is: 58,659,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786,680 : 27,387,112 = 27,387,112 : x
  2. Step 2: Convert to fraction form
    12,786,680/27,387,112 = 27,387,112/x
  3. Step 3: Cross multiply
    12,786,680x = 27,387,112 × 27,387,112
  4. Step 4: Simplify right side
    12,786,680x = 750,053,903,700,544
  5. Step 5: Solve for x
    x = 750,053,903,700,544/12,786,680
  6. Step 6: Final answer
    x = 58,659,003.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.