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Finding the Third Proportional to 6,126,624 and 13,367,322

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Solution

The third proportional to 6,126,624 and 13,367,322 is: 29,165,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126,624 : 13,367,322 = 13,367,322 : x
  2. Step 2: Convert to fraction form
    6,126,624/13,367,322 = 13,367,322/x
  3. Step 3: Cross multiply
    6,126,624x = 13,367,322 × 13,367,322
  4. Step 4: Simplify right side
    6,126,624x = 178,685,297,451,684
  5. Step 5: Solve for x
    x = 178,685,297,451,684/6,126,624
  6. Step 6: Final answer
    x = 29,165,376.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.