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Finding the Third Proportional to 996,175,274 and 2,180,008,133.50

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Solution

The third proportional to 996,175,274 and 2,180,008,133.50 is: 4,770,682,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,175,274 : 2,180,008,133.50 = 2,180,008,133.50 : x
  2. Step 2: Convert to fraction form
    996,175,274/2,180,008,133.50 = 2,180,008,133.50/x
  3. Step 3: Cross multiply
    996,175,274x = 2,180,008,133.50 × 2,180,008,133.50
  4. Step 4: Simplify right side
    996,175,274x = 4,752,435,462,126,153,728
  5. Step 5: Solve for x
    x = 4,752,435,462,126,153,728/996,175,274
  6. Step 6: Final answer
    x = 4,770,682,013.66

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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.