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Finding the Third Proportional to 6,691,272 and 14,245,680

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Solution

The third proportional to 6,691,272 and 14,245,680 is: 30,328,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,272 : 14,245,680 = 14,245,680 : x
  2. Step 2: Convert to fraction form
    6,691,272/14,245,680 = 14,245,680/x
  3. Step 3: Cross multiply
    6,691,272x = 14,245,680 × 14,245,680
  4. Step 4: Simplify right side
    6,691,272x = 202,939,398,662,400
  5. Step 5: Solve for x
    x = 202,939,398,662,400/6,691,272
  6. Step 6: Final answer
    x = 30,328,971.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.