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Finding the Third Proportional to 5,764,720 and 12,514,016

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Solution

The third proportional to 5,764,720 and 12,514,016 is: 27,165,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764,720 : 12,514,016 = 12,514,016 : x
  2. Step 2: Convert to fraction form
    5,764,720/12,514,016 = 12,514,016/x
  3. Step 3: Cross multiply
    5,764,720x = 12,514,016 × 12,514,016
  4. Step 4: Simplify right side
    5,764,720x = 156,600,596,448,256
  5. Step 5: Solve for x
    x = 156,600,596,448,256/5,764,720
  6. Step 6: Final answer
    x = 27,165,343.06

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