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Finding the Third Proportional to 2,900,625 and 6,147,027

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Solution

The third proportional to 2,900,625 and 6,147,027 is: 13,026,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,625 : 6,147,027 = 6,147,027 : x
  2. Step 2: Convert to fraction form
    2,900,625/6,147,027 = 6,147,027/x
  3. Step 3: Cross multiply
    2,900,625x = 6,147,027 × 6,147,027
  4. Step 4: Simplify right side
    2,900,625x = 37,785,940,938,729
  5. Step 5: Solve for x
    x = 37,785,940,938,729/2,900,625
  6. Step 6: Final answer
    x = 13,026,827.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.