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Finding the Third Proportional to 6,475,968 and 14,255,874

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Solution

The third proportional to 6,475,968 and 14,255,874 is: 31,382,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,968 : 14,255,874 = 14,255,874 : x
  2. Step 2: Convert to fraction form
    6,475,968/14,255,874 = 14,255,874/x
  3. Step 3: Cross multiply
    6,475,968x = 14,255,874 × 14,255,874
  4. Step 4: Simplify right side
    6,475,968x = 203,229,943,503,876
  5. Step 5: Solve for x
    x = 203,229,943,503,876/6,475,968
  6. Step 6: Final answer
    x = 31,382,172.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.