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Finding the Third Proportional to 996,175,274.75 and 2,180,008,135

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Solution

The third proportional to 996,175,274.75 and 2,180,008,135 is: 4,770,682,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,175,274.75 : 2,180,008,135 = 2,180,008,135 : x
  2. Step 2: Convert to fraction form
    996,175,274.75/2,180,008,135 = 2,180,008,135/x
  3. Step 3: Cross multiply
    996,175,274.75x = 2,180,008,135 × 2,180,008,135
  4. Step 4: Simplify right side
    996,175,274.75x = 4,752,435,468,666,178,560
  5. Step 5: Solve for x
    x = 4,752,435,468,666,178,560/996,175,274.75
  6. Step 6: Final answer
    x = 4,770,682,016.63

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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.