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Finding the Third Proportional to 299,145,716 and 447,522,750

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Solution

The third proportional to 299,145,716 and 447,522,750 is: 669,495,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145,716 : 447,522,750 = 447,522,750 : x
  2. Step 2: Convert to fraction form
    299,145,716/447,522,750 = 447,522,750/x
  3. Step 3: Cross multiply
    299,145,716x = 447,522,750 × 447,522,750
  4. Step 4: Simplify right side
    299,145,716x = 200,276,611,767,562,496
  5. Step 5: Solve for x
    x = 200,276,611,767,562,496/299,145,716
  6. Step 6: Final answer
    x = 669,495,169.26

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