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Finding the Third Proportional to 223,622,842 and 491,606,092

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Solution

The third proportional to 223,622,842 and 491,606,092 is: 1,080,732,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,622,842 : 491,606,092 = 491,606,092 : x
  2. Step 2: Convert to fraction form
    223,622,842/491,606,092 = 491,606,092/x
  3. Step 3: Cross multiply
    223,622,842x = 491,606,092 × 491,606,092
  4. Step 4: Simplify right side
    223,622,842x = 241,676,549,691,512,448
  5. Step 5: Solve for x
    x = 241,676,549,691,512,448/223,622,842
  6. Step 6: Final answer
    x = 1,080,732,842.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.