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Finding the Third Proportional to 447,399,162 and 972,241,323

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Solution

The third proportional to 447,399,162 and 972,241,323 is: 2,112,773,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,162 : 972,241,323 = 972,241,323 : x
  2. Step 2: Convert to fraction form
    447,399,162/972,241,323 = 972,241,323/x
  3. Step 3: Cross multiply
    447,399,162x = 972,241,323 × 972,241,323
  4. Step 4: Simplify right side
    447,399,162x = 945,253,190,148,790,272
  5. Step 5: Solve for x
    x = 945,253,190,148,790,272/447,399,162
  6. Step 6: Final answer
    x = 2,112,773,716.26

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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.