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Finding the Third Proportional to 5,285,806 and 11,542,326

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Solution

The third proportional to 5,285,806 and 11,542,326 is: 25,204,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285,806 : 11,542,326 = 11,542,326 : x
  2. Step 2: Convert to fraction form
    5,285,806/11,542,326 = 11,542,326/x
  3. Step 3: Cross multiply
    5,285,806x = 11,542,326 × 11,542,326
  4. Step 4: Simplify right side
    5,285,806x = 133,225,289,490,276
  5. Step 5: Solve for x
    x = 133,225,289,490,276/5,285,806
  6. Step 6: Final answer
    x = 25,204,347.17

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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.