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Finding the Third Proportional to 37,844,546 and 82,853,696

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Solution

The third proportional to 37,844,546 and 82,853,696 is: 181,392,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844,546 : 82,853,696 = 82,853,696 : x
  2. Step 2: Convert to fraction form
    37,844,546/82,853,696 = 82,853,696/x
  3. Step 3: Cross multiply
    37,844,546x = 82,853,696 × 82,853,696
  4. Step 4: Simplify right side
    37,844,546x = 6,864,734,940,860,416
  5. Step 5: Solve for x
    x = 6,864,734,940,860,416/37,844,546
  6. Step 6: Final answer
    x = 181,392,979.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.