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Finding the Third Proportional to 996,682,012.50 and 2,146,714,197

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Solution

The third proportional to 996,682,012.50 and 2,146,714,197 is: 4,623,723,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,682,012.50 : 2,146,714,197 = 2,146,714,197 : x
  2. Step 2: Convert to fraction form
    996,682,012.50/2,146,714,197 = 2,146,714,197/x
  3. Step 3: Cross multiply
    996,682,012.50x = 2,146,714,197 × 2,146,714,197
  4. Step 4: Simplify right side
    996,682,012.50x = 4,608,381,843,601,354,752
  5. Step 5: Solve for x
    x = 4,608,381,843,601,354,752/996,682,012.50
  6. Step 6: Final answer
    x = 4,623,723,299.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.