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Finding the Third Proportional to 49,771,349 and 103,515,747

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Solution

The third proportional to 49,771,349 and 103,515,747 is: 215,294,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771,349 : 103,515,747 = 103,515,747 : x
  2. Step 2: Convert to fraction form
    49,771,349/103,515,747 = 103,515,747/x
  3. Step 3: Cross multiply
    49,771,349x = 103,515,747 × 103,515,747
  4. Step 4: Simplify right side
    49,771,349x = 10,715,509,876,968,008
  5. Step 5: Solve for x
    x = 10,715,509,876,968,008/49,771,349
  6. Step 6: Final answer
    x = 215,294,744.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.