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Finding the Third Proportional to 447,617,759 and 963,259,986.25

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Solution

The third proportional to 447,617,759 and 963,259,986.25 is: 2,072,906,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,759 : 963,259,986.25 = 963,259,986.25 : x
  2. Step 2: Convert to fraction form
    447,617,759/963,259,986.25 = 963,259,986.25/x
  3. Step 3: Cross multiply
    447,617,759x = 963,259,986.25 × 963,259,986.25
  4. Step 4: Simplify right side
    447,617,759x = 927,869,801,110,350,208
  5. Step 5: Solve for x
    x = 927,869,801,110,350,208/447,617,759
  6. Step 6: Final answer
    x = 2,072,906,587.05

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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.