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Finding the Third Proportional to 2,021,297,051,790 and 4,494,527,278,452

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Solution

The third proportional to 2,021,297,051,790 and 4,494,527,278,452 is: 9,993,966,715,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,297,051,790 : 4,494,527,278,452 = 4,494,527,278,452 : x
  2. Step 2: Convert to fraction form
    2,021,297,051,790/4,494,527,278,452 = 4,494,527,278,452/x
  3. Step 3: Cross multiply
    2,021,297,051,790x = 4,494,527,278,452 × 4,494,527,278,452
  4. Step 4: Simplify right side
    2,021,297,051,790x = 20,200,775,456,749,142,115,614,720
  5. Step 5: Solve for x
    x = 20,200,775,456,749,142,115,614,720/2,021,297,051,790
  6. Step 6: Final answer
    x = 9,993,966,715,015.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.