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Finding the Third Proportional to 9,297,265 and 20,138,714

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Solution

The third proportional to 9,297,265 and 20,138,714 is: 43,622,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297,265 : 20,138,714 = 20,138,714 : x
  2. Step 2: Convert to fraction form
    9,297,265/20,138,714 = 20,138,714/x
  3. Step 3: Cross multiply
    9,297,265x = 20,138,714 × 20,138,714
  4. Step 4: Simplify right side
    9,297,265x = 405,567,801,573,796
  5. Step 5: Solve for x
    x = 405,567,801,573,796/9,297,265
  6. Step 6: Final answer
    x = 43,622,269.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.