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Finding the Third Proportional to 6,691,269 and 14,245,674

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Solution

The third proportional to 6,691,269 and 14,245,674 is: 30,328,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,269 : 14,245,674 = 14,245,674 : x
  2. Step 2: Convert to fraction form
    6,691,269/14,245,674 = 14,245,674/x
  3. Step 3: Cross multiply
    6,691,269x = 14,245,674 × 14,245,674
  4. Step 4: Simplify right side
    6,691,269x = 202,939,227,714,276
  5. Step 5: Solve for x
    x = 202,939,227,714,276/6,691,269
  6. Step 6: Final answer
    x = 30,328,959.68

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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.