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Finding the Third Proportional to 447,399,118 and 972,241,231

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Solution

The third proportional to 447,399,118 and 972,241,231 is: 2,112,773,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,118 : 972,241,231 = 972,241,231 : x
  2. Step 2: Convert to fraction form
    447,399,118/972,241,231 = 972,241,231/x
  3. Step 3: Cross multiply
    447,399,118x = 972,241,231 × 972,241,231
  4. Step 4: Simplify right side
    447,399,118x = 945,253,011,256,395,392
  5. Step 5: Solve for x
    x = 945,253,011,256,395,392/447,399,118
  6. Step 6: Final answer
    x = 2,112,773,524.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.