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Finding the Third Proportional to 241,846,900 and 493,844,881

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Solution

The third proportional to 241,846,900 and 493,844,881 is: 1,008,417,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,846,900 : 493,844,881 = 493,844,881 : x
  2. Step 2: Convert to fraction form
    241,846,900/493,844,881 = 493,844,881/x
  3. Step 3: Cross multiply
    241,846,900x = 493,844,881 × 493,844,881
  4. Step 4: Simplify right side
    241,846,900x = 243,882,766,489,904,160
  5. Step 5: Solve for x
    x = 243,882,766,489,904,160/241,846,900
  6. Step 6: Final answer
    x = 1,008,417,997.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.