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Finding the Third Proportional to 76,505,847 and 165,101,796

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Solution

The third proportional to 76,505,847 and 165,101,796 is: 356,294,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505,847 : 165,101,796 = 165,101,796 : x
  2. Step 2: Convert to fraction form
    76,505,847/165,101,796 = 165,101,796/x
  3. Step 3: Cross multiply
    76,505,847x = 165,101,796 × 165,101,796
  4. Step 4: Simplify right side
    76,505,847x = 27,258,603,042,425,616
  5. Step 5: Solve for x
    x = 27,258,603,042,425,616/76,505,847
  6. Step 6: Final answer
    x = 356,294,376.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.