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Finding the Third Proportional to 628,519,500 and 1,481,594,981.06

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Solution

The third proportional to 628,519,500 and 1,481,594,981.06 is: 3,492,530,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,519,500 : 1,481,594,981.06 = 1,481,594,981.06 : x
  2. Step 2: Convert to fraction form
    628,519,500/1,481,594,981.06 = 1,481,594,981.06/x
  3. Step 3: Cross multiply
    628,519,500x = 1,481,594,981.06 × 1,481,594,981.06
  4. Step 4: Simplify right side
    628,519,500x = 2,195,123,687,909,589,760
  5. Step 5: Solve for x
    x = 2,195,123,687,909,589,760/628,519,500
  6. Step 6: Final answer
    x = 3,492,530,761.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.