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Finding the Third Proportional to 2,486,822,022 and 5,393,234,065.50

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Solution

The third proportional to 2,486,822,022 and 5,393,234,065.50 is: 11,696,443,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,822,022 : 5,393,234,065.50 = 5,393,234,065.50 : x
  2. Step 2: Convert to fraction form
    2,486,822,022/5,393,234,065.50 = 5,393,234,065.50/x
  3. Step 3: Cross multiply
    2,486,822,022x = 5,393,234,065.50 × 5,393,234,065.50
  4. Step 4: Simplify right side
    2,486,822,022x = 29,086,973,685,269,659,648
  5. Step 5: Solve for x
    x = 29,086,973,685,269,659,648/2,486,822,022
  6. Step 6: Final answer
    x = 11,696,443,665.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.