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Finding the Third Proportional to 5,299,326 and 11,797,614

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Solution

The third proportional to 5,299,326 and 11,797,614 is: 26,264,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,326 : 11,797,614 = 11,797,614 : x
  2. Step 2: Convert to fraction form
    5,299,326/11,797,614 = 11,797,614/x
  3. Step 3: Cross multiply
    5,299,326x = 11,797,614 × 11,797,614
  4. Step 4: Simplify right side
    5,299,326x = 139,183,696,092,996
  5. Step 5: Solve for x
    x = 139,183,696,092,996/5,299,326
  6. Step 6: Final answer
    x = 26,264,414.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.