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Finding the Third Proportional to 11,947,298 and 26,217,032

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Solution

The third proportional to 11,947,298 and 26,217,032 is: 57,530,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947,298 : 26,217,032 = 26,217,032 : x
  2. Step 2: Convert to fraction form
    11,947,298/26,217,032 = 26,217,032/x
  3. Step 3: Cross multiply
    11,947,298x = 26,217,032 × 26,217,032
  4. Step 4: Simplify right side
    11,947,298x = 687,332,766,889,024
  5. Step 5: Solve for x
    x = 687,332,766,889,024/11,947,298
  6. Step 6: Final answer
    x = 57,530,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.