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Finding the Third Proportional to 447,399,116 and 972,241,227

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Solution

The third proportional to 447,399,116 and 972,241,227 is: 2,112,773,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,116 : 972,241,227 = 972,241,227 : x
  2. Step 2: Convert to fraction form
    447,399,116/972,241,227 = 972,241,227/x
  3. Step 3: Cross multiply
    447,399,116x = 972,241,227 × 972,241,227
  4. Step 4: Simplify right side
    447,399,116x = 945,253,003,478,465,536
  5. Step 5: Solve for x
    x = 945,253,003,478,465,536/447,399,116
  6. Step 6: Final answer
    x = 2,112,773,516.25

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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.