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Finding the Third Proportional to 919,957,767 and 2,008,515,189.75

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Solution

The third proportional to 919,957,767 and 2,008,515,189.75 is: 4,385,128,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,957,767 : 2,008,515,189.75 = 2,008,515,189.75 : x
  2. Step 2: Convert to fraction form
    919,957,767/2,008,515,189.75 = 2,008,515,189.75/x
  3. Step 3: Cross multiply
    919,957,767x = 2,008,515,189.75 × 2,008,515,189.75
  4. Step 4: Simplify right side
    919,957,767x = 4,034,133,267,456,478,720
  5. Step 5: Solve for x
    x = 4,034,133,267,456,478,720/919,957,767
  6. Step 6: Final answer
    x = 4,385,128,765.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.