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Finding the Third Proportional to 11,938,029 and 25,782,204

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Solution

The third proportional to 11,938,029 and 25,782,204 is: 55,681,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938,029 : 25,782,204 = 25,782,204 : x
  2. Step 2: Convert to fraction form
    11,938,029/25,782,204 = 25,782,204/x
  3. Step 3: Cross multiply
    11,938,029x = 25,782,204 × 25,782,204
  4. Step 4: Simplify right side
    11,938,029x = 664,722,043,097,616
  5. Step 5: Solve for x
    x = 664,722,043,097,616/11,938,029
  6. Step 6: Final answer
    x = 55,681,054.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.