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Finding the Third Proportional to 3,002,047 and 6,459,992

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Solution

The third proportional to 3,002,047 and 6,459,992 is: 13,901,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,047 : 6,459,992 = 6,459,992 : x
  2. Step 2: Convert to fraction form
    3,002,047/6,459,992 = 6,459,992/x
  3. Step 3: Cross multiply
    3,002,047x = 6,459,992 × 6,459,992
  4. Step 4: Simplify right side
    3,002,047x = 41,731,496,640,064
  5. Step 5: Solve for x
    x = 41,731,496,640,064/3,002,047
  6. Step 6: Final answer
    x = 13,901,013.75

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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.