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Finding the Third Proportional to 38,173,638 and 82,398,974

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Solution

The third proportional to 38,173,638 and 82,398,974 is: 177,860,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173,638 : 82,398,974 = 82,398,974 : x
  2. Step 2: Convert to fraction form
    38,173,638/82,398,974 = 82,398,974/x
  3. Step 3: Cross multiply
    38,173,638x = 82,398,974 × 82,398,974
  4. Step 4: Simplify right side
    38,173,638x = 6,789,590,916,252,676
  5. Step 5: Solve for x
    x = 6,789,590,916,252,676/38,173,638
  6. Step 6: Final answer
    x = 177,860,724.63

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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.