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Finding the Third Proportional to 38,138,422 and 83,407,058

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Solution

The third proportional to 38,138,422 and 83,407,058 is: 182,407,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138,422 : 83,407,058 = 83,407,058 : x
  2. Step 2: Convert to fraction form
    38,138,422/83,407,058 = 83,407,058/x
  3. Step 3: Cross multiply
    38,138,422x = 83,407,058 × 83,407,058
  4. Step 4: Simplify right side
    38,138,422x = 6,956,737,324,215,364
  5. Step 5: Solve for x
    x = 6,956,737,324,215,364/38,138,422
  6. Step 6: Final answer
    x = 182,407,581.63

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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.