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Finding the Third Proportional to 311,416,222 and 437,986,081

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Solution

The third proportional to 311,416,222 and 437,986,081 is: 615,998,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416,222 : 437,986,081 = 437,986,081 : x
  2. Step 2: Convert to fraction form
    311,416,222/437,986,081 = 437,986,081/x
  3. Step 3: Cross multiply
    311,416,222x = 437,986,081 × 437,986,081
  4. Step 4: Simplify right side
    311,416,222x = 191,831,807,149,738,560
  5. Step 5: Solve for x
    x = 191,831,807,149,738,560/311,416,222
  6. Step 6: Final answer
    x = 615,998,119.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.