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Finding the Third Proportional to 5,413,266 and 11,272,932

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Solution

The third proportional to 5,413,266 and 11,272,932 is: 23,475,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,266 : 11,272,932 = 11,272,932 : x
  2. Step 2: Convert to fraction form
    5,413,266/11,272,932 = 11,272,932/x
  3. Step 3: Cross multiply
    5,413,266x = 11,272,932 × 11,272,932
  4. Step 4: Simplify right side
    5,413,266x = 127,078,995,876,624
  5. Step 5: Solve for x
    x = 127,078,995,876,624/5,413,266
  6. Step 6: Final answer
    x = 23,475,475.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.