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Finding the Third Proportional to 3,077,285 and 6,627,823

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Solution

The third proportional to 3,077,285 and 6,627,823 is: 14,274,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,285 : 6,627,823 = 6,627,823 : x
  2. Step 2: Convert to fraction form
    3,077,285/6,627,823 = 6,627,823/x
  3. Step 3: Cross multiply
    3,077,285x = 6,627,823 × 6,627,823
  4. Step 4: Simplify right side
    3,077,285x = 43,928,037,719,329
  5. Step 5: Solve for x
    x = 43,928,037,719,329/3,077,285
  6. Step 6: Final answer
    x = 14,274,933.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.