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Finding the Third Proportional to 996,175,274.50 and 2,180,008,134

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Solution

The third proportional to 996,175,274.50 and 2,180,008,134 is: 4,770,682,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,175,274.50 : 2,180,008,134 = 2,180,008,134 : x
  2. Step 2: Convert to fraction form
    996,175,274.50/2,180,008,134 = 2,180,008,134/x
  3. Step 3: Cross multiply
    996,175,274.50x = 2,180,008,134 × 2,180,008,134
  4. Step 4: Simplify right side
    996,175,274.50x = 4,752,435,464,306,161,664
  5. Step 5: Solve for x
    x = 4,752,435,464,306,161,664/996,175,274.50
  6. Step 6: Final answer
    x = 4,770,682,013.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.