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Finding the Third Proportional to 34,984,917 and 76,122,913

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Solution

The third proportional to 34,984,917 and 76,122,913 is: 165,634,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984,917 : 76,122,913 = 76,122,913 : x
  2. Step 2: Convert to fraction form
    34,984,917/76,122,913 = 76,122,913/x
  3. Step 3: Cross multiply
    34,984,917x = 76,122,913 × 76,122,913
  4. Step 4: Simplify right side
    34,984,917x = 5,794,697,883,605,569
  5. Step 5: Solve for x
    x = 5,794,697,883,605,569/34,984,917
  6. Step 6: Final answer
    x = 165,634,175.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.