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Finding the Third Proportional to 2,451,197,343 and 5,243,181,204

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Solution

The third proportional to 2,451,197,343 and 5,243,181,204 is: 11,215,314,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,197,343 : 5,243,181,204 = 5,243,181,204 : x
  2. Step 2: Convert to fraction form
    2,451,197,343/5,243,181,204 = 5,243,181,204/x
  3. Step 3: Cross multiply
    2,451,197,343x = 5,243,181,204 × 5,243,181,204
  4. Step 4: Simplify right side
    2,451,197,343x = 27,490,949,137,978,888,192
  5. Step 5: Solve for x
    x = 27,490,949,137,978,888,192/2,451,197,343
  6. Step 6: Final answer
    x = 11,215,314,514.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.