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Finding the Third Proportional to 2,678,646 and 6,322,125

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Solution

The third proportional to 2,678,646 and 6,322,125 is: 14,921,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,646 : 6,322,125 = 6,322,125 : x
  2. Step 2: Convert to fraction form
    2,678,646/6,322,125 = 6,322,125/x
  3. Step 3: Cross multiply
    2,678,646x = 6,322,125 × 6,322,125
  4. Step 4: Simplify right side
    2,678,646x = 39,969,264,515,625
  5. Step 5: Solve for x
    x = 39,969,264,515,625/2,678,646
  6. Step 6: Final answer
    x = 14,921,443.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.