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Finding the Third Proportional to 206,491,492 and 449,397,968

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Solution

The third proportional to 206,491,492 and 449,397,968 is: 978,047,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491,492 : 449,397,968 = 449,397,968 : x
  2. Step 2: Convert to fraction form
    206,491,492/449,397,968 = 449,397,968/x
  3. Step 3: Cross multiply
    206,491,492x = 449,397,968 × 449,397,968
  4. Step 4: Simplify right side
    206,491,492x = 201,958,533,642,529,024
  5. Step 5: Solve for x
    x = 201,958,533,642,529,024/206,491,492
  6. Step 6: Final answer
    x = 978,047,723.35

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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.