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Finding the Third Proportional to 38,580,738 and 83,219,100

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Solution

The third proportional to 38,580,738 and 83,219,100 is: 179,504,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,738 : 83,219,100 = 83,219,100 : x
  2. Step 2: Convert to fraction form
    38,580,738/83,219,100 = 83,219,100/x
  3. Step 3: Cross multiply
    38,580,738x = 83,219,100 × 83,219,100
  4. Step 4: Simplify right side
    38,580,738x = 6,925,418,604,810,000
  5. Step 5: Solve for x
    x = 6,925,418,604,810,000/38,580,738
  6. Step 6: Final answer
    x = 179,504,565.33

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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.