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Finding the Third Proportional to 3,077,289 and 6,627,831

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Solution

The third proportional to 3,077,289 and 6,627,831 is: 14,274,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,289 : 6,627,831 = 6,627,831 : x
  2. Step 2: Convert to fraction form
    3,077,289/6,627,831 = 6,627,831/x
  3. Step 3: Cross multiply
    3,077,289x = 6,627,831 × 6,627,831
  4. Step 4: Simplify right side
    3,077,289x = 43,928,143,764,561
  5. Step 5: Solve for x
    x = 43,928,143,764,561/3,077,289
  6. Step 6: Final answer
    x = 14,274,949.08

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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.