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Finding the Third Proportional to 53,449,743 and 82,630,899

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Solution

The third proportional to 53,449,743 and 82,630,899 is: 127,743,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449,743 : 82,630,899 = 82,630,899 : x
  2. Step 2: Convert to fraction form
    53,449,743/82,630,899 = 82,630,899/x
  3. Step 3: Cross multiply
    53,449,743x = 82,630,899 × 82,630,899
  4. Step 4: Simplify right side
    53,449,743x = 6,827,865,469,548,201
  5. Step 5: Solve for x
    x = 6,827,865,469,548,201/53,449,743
  6. Step 6: Final answer
    x = 127,743,653.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.