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Finding the Third Proportional to 299,145,718 and 447,522,753

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Solution

The third proportional to 299,145,718 and 447,522,753 is: 669,495,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145,718 : 447,522,753 = 447,522,753 : x
  2. Step 2: Convert to fraction form
    299,145,718/447,522,753 = 447,522,753/x
  3. Step 3: Cross multiply
    299,145,718x = 447,522,753 × 447,522,753
  4. Step 4: Simplify right side
    299,145,718x = 200,276,614,452,699,008
  5. Step 5: Solve for x
    x = 200,276,614,452,699,008/299,145,718
  6. Step 6: Final answer
    x = 669,495,173.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.