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Finding the Third Proportional to 38,353,714 and 82,399,316

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Solution

The third proportional to 38,353,714 and 82,399,316 is: 177,027,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353,714 : 82,399,316 = 82,399,316 : x
  2. Step 2: Convert to fraction form
    38,353,714/82,399,316 = 82,399,316/x
  3. Step 3: Cross multiply
    38,353,714x = 82,399,316 × 82,399,316
  4. Step 4: Simplify right side
    38,353,714x = 6,789,647,277,267,856
  5. Step 5: Solve for x
    x = 6,789,647,277,267,856/38,353,714
  6. Step 6: Final answer
    x = 177,027,113.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.