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Finding the Third Proportional to 38,394,024 and 82,924,156

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Solution

The third proportional to 38,394,024 and 82,924,156 is: 179,101,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394,024 : 82,924,156 = 82,924,156 : x
  2. Step 2: Convert to fraction form
    38,394,024/82,924,156 = 82,924,156/x
  3. Step 3: Cross multiply
    38,394,024x = 82,924,156 × 82,924,156
  4. Step 4: Simplify right side
    38,394,024x = 6,876,415,648,312,336
  5. Step 5: Solve for x
    x = 6,876,415,648,312,336/38,394,024
  6. Step 6: Final answer
    x = 179,101,196.80

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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.