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Finding the Third Proportional to 54,641,257 and 83,080,745

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Solution

The third proportional to 54,641,257 and 83,080,745 is: 126,322,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641,257 : 83,080,745 = 83,080,745 : x
  2. Step 2: Convert to fraction form
    54,641,257/83,080,745 = 83,080,745/x
  3. Step 3: Cross multiply
    54,641,257x = 83,080,745 × 83,080,745
  4. Step 4: Simplify right side
    54,641,257x = 6,902,410,189,755,025
  5. Step 5: Solve for x
    x = 6,902,410,189,755,025/54,641,257
  6. Step 6: Final answer
    x = 126,322,317.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.