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Finding the Third Proportional to 38,169,134 and 82,391,802

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Solution

The third proportional to 38,169,134 and 82,391,802 is: 177,850,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169,134 : 82,391,802 = 82,391,802 : x
  2. Step 2: Convert to fraction form
    38,169,134/82,391,802 = 82,391,802/x
  3. Step 3: Cross multiply
    38,169,134x = 82,391,802 × 82,391,802
  4. Step 4: Simplify right side
    38,169,134x = 6,788,409,036,807,204
  5. Step 5: Solve for x
    x = 6,788,409,036,807,204/38,169,134
  6. Step 6: Final answer
    x = 177,850,748.12

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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.