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Finding the Third Proportional to 447,617,844 and 963,260,152

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Solution

The third proportional to 447,617,844 and 963,260,152 is: 2,072,906,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,844 : 963,260,152 = 963,260,152 : x
  2. Step 2: Convert to fraction form
    447,617,844/963,260,152 = 963,260,152/x
  3. Step 3: Cross multiply
    447,617,844x = 963,260,152 × 963,260,152
  4. Step 4: Simplify right side
    447,617,844x = 927,870,120,431,063,040
  5. Step 5: Solve for x
    x = 927,870,120,431,063,040/447,617,844
  6. Step 6: Final answer
    x = 2,072,906,906.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.