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Finding the Third Proportional to 2,996,129 and 6,471,099

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Solution

The third proportional to 2,996,129 and 6,471,099 is: 13,976,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,129 : 6,471,099 = 6,471,099 : x
  2. Step 2: Convert to fraction form
    2,996,129/6,471,099 = 6,471,099/x
  3. Step 3: Cross multiply
    2,996,129x = 6,471,099 × 6,471,099
  4. Step 4: Simplify right side
    2,996,129x = 41,875,122,267,801
  5. Step 5: Solve for x
    x = 41,875,122,267,801/2,996,129
  6. Step 6: Final answer
    x = 13,976,408.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.