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Finding the Third Proportional to 629,049,070 and 984,642,193

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Solution

The third proportional to 629,049,070 and 984,642,193 is: 1,541,247,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,049,070 : 984,642,193 = 984,642,193 : x
  2. Step 2: Convert to fraction form
    629,049,070/984,642,193 = 984,642,193/x
  3. Step 3: Cross multiply
    629,049,070x = 984,642,193 × 984,642,193
  4. Step 4: Simplify right side
    629,049,070x = 969,520,248,235,849,216
  5. Step 5: Solve for x
    x = 969,520,248,235,849,216/629,049,070
  6. Step 6: Final answer
    x = 1,541,247,407.35

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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.