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Finding the Third Proportional to 38,580,768 and 83,219,175

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Solution

The third proportional to 38,580,768 and 83,219,175 is: 179,504,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,768 : 83,219,175 = 83,219,175 : x
  2. Step 2: Convert to fraction form
    38,580,768/83,219,175 = 83,219,175/x
  3. Step 3: Cross multiply
    38,580,768x = 83,219,175 × 83,219,175
  4. Step 4: Simplify right side
    38,580,768x = 6,925,431,087,680,625
  5. Step 5: Solve for x
    x = 6,925,431,087,680,625/38,580,768
  6. Step 6: Final answer
    x = 179,504,749.30

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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.