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Finding the Third Proportional to 996,175,274.06 and 2,180,008,133.44

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Solution

The third proportional to 996,175,274.06 and 2,180,008,133.44 is: 4,770,682,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,175,274.06 : 2,180,008,133.44 = 2,180,008,133.44 : x
  2. Step 2: Convert to fraction form
    996,175,274.06/2,180,008,133.44 = 2,180,008,133.44/x
  3. Step 3: Cross multiply
    996,175,274.06x = 2,180,008,133.44 × 2,180,008,133.44
  4. Step 4: Simplify right side
    996,175,274.06x = 4,752,435,461,853,652,992
  5. Step 5: Solve for x
    x = 4,752,435,461,853,652,992/996,175,274.06
  6. Step 6: Final answer
    x = 4,770,682,013.09

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