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Finding the Third Proportional to 5,296,214 and 11,228,016

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Solution

The third proportional to 5,296,214 and 11,228,016 is: 23,803,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,214 : 11,228,016 = 11,228,016 : x
  2. Step 2: Convert to fraction form
    5,296,214/11,228,016 = 11,228,016/x
  3. Step 3: Cross multiply
    5,296,214x = 11,228,016 × 11,228,016
  4. Step 4: Simplify right side
    5,296,214x = 126,068,343,296,256
  5. Step 5: Solve for x
    x = 126,068,343,296,256/5,296,214
  6. Step 6: Final answer
    x = 23,803,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.