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Finding the Third Proportional to 49,735,319 and 107,028,913

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Solution

The third proportional to 49,735,319 and 107,028,913 is: 230,323,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,319 : 107,028,913 = 107,028,913 : x
  2. Step 2: Convert to fraction form
    49,735,319/107,028,913 = 107,028,913/x
  3. Step 3: Cross multiply
    49,735,319x = 107,028,913 × 107,028,913
  4. Step 4: Simplify right side
    49,735,319x = 11,455,188,217,961,568
  5. Step 5: Solve for x
    x = 11,455,188,217,961,568/49,735,319
  6. Step 6: Final answer
    x = 230,323,006.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.