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Finding the Third Proportional to 3,267,714 and 7,180,512

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Solution

The third proportional to 3,267,714 and 7,180,512 is: 15,778,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,714 : 7,180,512 = 7,180,512 : x
  2. Step 2: Convert to fraction form
    3,267,714/7,180,512 = 7,180,512/x
  3. Step 3: Cross multiply
    3,267,714x = 7,180,512 × 7,180,512
  4. Step 4: Simplify right side
    3,267,714x = 51,559,752,582,144
  5. Step 5: Solve for x
    x = 51,559,752,582,144/3,267,714
  6. Step 6: Final answer
    x = 15,778,538.94

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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.