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Finding the Third Proportional to 11,938,023 and 25,782,192

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Solution

The third proportional to 11,938,023 and 25,782,192 is: 55,681,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938,023 : 25,782,192 = 25,782,192 : x
  2. Step 2: Convert to fraction form
    11,938,023/25,782,192 = 25,782,192/x
  3. Step 3: Cross multiply
    11,938,023x = 25,782,192 × 25,782,192
  4. Step 4: Simplify right side
    11,938,023x = 664,721,424,324,864
  5. Step 5: Solve for x
    x = 664,721,424,324,864/11,938,023
  6. Step 6: Final answer
    x = 55,681,030.63

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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.