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Finding the Third Proportional to 629,049,064 and 984,642,184

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Solution

The third proportional to 629,049,064 and 984,642,184 is: 1,541,247,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,049,064 : 984,642,184 = 984,642,184 : x
  2. Step 2: Convert to fraction form
    629,049,064/984,642,184 = 984,642,184/x
  3. Step 3: Cross multiply
    629,049,064x = 984,642,184 × 984,642,184
  4. Step 4: Simplify right side
    629,049,064x = 969,520,230,512,289,792
  5. Step 5: Solve for x
    x = 969,520,230,512,289,792/629,049,064
  6. Step 6: Final answer
    x = 1,541,247,393.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.