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Finding the Third Proportional to 919,957,765.78 and 2,008,515,186.28

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Solution

The third proportional to 919,957,765.78 and 2,008,515,186.28 is: 4,385,128,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,957,765.78 : 2,008,515,186.28 = 2,008,515,186.28 : x
  2. Step 2: Convert to fraction form
    919,957,765.78/2,008,515,186.28 = 2,008,515,186.28/x
  3. Step 3: Cross multiply
    919,957,765.78x = 2,008,515,186.28 × 2,008,515,186.28
  4. Step 4: Simplify right side
    919,957,765.78x = 4,034,133,253,522,203,136
  5. Step 5: Solve for x
    x = 4,034,133,253,522,203,136/919,957,765.78
  6. Step 6: Final answer
    x = 4,385,128,756.53

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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.