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Finding the Third Proportional to 49,949,676 and 101,277,270

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Solution

The third proportional to 49,949,676 and 101,277,270 is: 205,348,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,949,676 : 101,277,270 = 101,277,270 : x
  2. Step 2: Convert to fraction form
    49,949,676/101,277,270 = 101,277,270/x
  3. Step 3: Cross multiply
    49,949,676x = 101,277,270 × 101,277,270
  4. Step 4: Simplify right side
    49,949,676x = 10,257,085,418,652,900
  5. Step 5: Solve for x
    x = 10,257,085,418,652,900/49,949,676
  6. Step 6: Final answer
    x = 205,348,387.42

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.