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Finding the Third Proportional to 3,055,837 and 6,475,945

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Solution

The third proportional to 3,055,837 and 6,475,945 is: 13,723,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,837 : 6,475,945 = 6,475,945 : x
  2. Step 2: Convert to fraction form
    3,055,837/6,475,945 = 6,475,945/x
  3. Step 3: Cross multiply
    3,055,837x = 6,475,945 × 6,475,945
  4. Step 4: Simplify right side
    3,055,837x = 41,937,863,643,025
  5. Step 5: Solve for x
    x = 41,937,863,643,025/3,055,837
  6. Step 6: Final answer
    x = 13,723,854.92

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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.