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Finding the Third Proportional to 61,848,457 and 122,135,761

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Solution

The third proportional to 61,848,457 and 122,135,761 is: 241,188,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,848,457 : 122,135,761 = 122,135,761 : x
  2. Step 2: Convert to fraction form
    61,848,457/122,135,761 = 122,135,761/x
  3. Step 3: Cross multiply
    61,848,457x = 122,135,761 × 122,135,761
  4. Step 4: Simplify right side
    61,848,457x = 14,917,144,115,049,120
  5. Step 5: Solve for x
    x = 14,917,144,115,049,120/61,848,457
  6. Step 6: Final answer
    x = 241,188,621.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.