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Finding the Third Proportional to 81,821,778 and 181,803,884

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Solution

The third proportional to 81,821,778 and 181,803,884 is: 403,959,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821,778 : 181,803,884 = 181,803,884 : x
  2. Step 2: Convert to fraction form
    81,821,778/181,803,884 = 181,803,884/x
  3. Step 3: Cross multiply
    81,821,778x = 181,803,884 × 181,803,884
  4. Step 4: Simplify right side
    81,821,778x = 33,052,652,237,485,456
  5. Step 5: Solve for x
    x = 33,052,652,237,485,456/81,821,778
  6. Step 6: Final answer
    x = 403,959,105.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.