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Finding the Third Proportional to 5,362,764 and 11,669,016

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Solution

The third proportional to 5,362,764 and 11,669,016 is: 25,390,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362,764 : 11,669,016 = 11,669,016 : x
  2. Step 2: Convert to fraction form
    5,362,764/11,669,016 = 11,669,016/x
  3. Step 3: Cross multiply
    5,362,764x = 11,669,016 × 11,669,016
  4. Step 4: Simplify right side
    5,362,764x = 136,165,934,408,256
  5. Step 5: Solve for x
    x = 136,165,934,408,256/5,362,764
  6. Step 6: Final answer
    x = 25,390,998.82

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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.