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Finding the Third Proportional to 6,274,743 and 13,302,912

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Solution

The third proportional to 6,274,743 and 13,302,912 is: 28,203,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274,743 : 13,302,912 = 13,302,912 : x
  2. Step 2: Convert to fraction form
    6,274,743/13,302,912 = 13,302,912/x
  3. Step 3: Cross multiply
    6,274,743x = 13,302,912 × 13,302,912
  4. Step 4: Simplify right side
    6,274,743x = 176,967,467,679,744
  5. Step 5: Solve for x
    x = 176,967,467,679,744/6,274,743
  6. Step 6: Final answer
    x = 28,203,141.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.