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Finding the Third Proportional to 3,055,864 and 6,475,996

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Solution

The third proportional to 3,055,864 and 6,475,996 is: 13,723,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,864 : 6,475,996 = 6,475,996 : x
  2. Step 2: Convert to fraction form
    3,055,864/6,475,996 = 6,475,996/x
  3. Step 3: Cross multiply
    3,055,864x = 6,475,996 × 6,475,996
  4. Step 4: Simplify right side
    3,055,864x = 41,938,524,192,016
  5. Step 5: Solve for x
    x = 41,938,524,192,016/3,055,864
  6. Step 6: Final answer
    x = 13,723,949.82

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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.