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Finding the Third Proportional to 629,049,072 and 984,642,196

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Solution

The third proportional to 629,049,072 and 984,642,196 is: 1,541,247,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,049,072 : 984,642,196 = 984,642,196 : x
  2. Step 2: Convert to fraction form
    629,049,072/984,642,196 = 984,642,196/x
  3. Step 3: Cross multiply
    629,049,072x = 984,642,196 × 984,642,196
  4. Step 4: Simplify right side
    629,049,072x = 969,520,254,143,702,400
  5. Step 5: Solve for x
    x = 969,520,254,143,702,400/629,049,072
  6. Step 6: Final answer
    x = 1,541,247,411.85

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Why These Related Problems?

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