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Finding the Third Proportional to 44,968,431,435 and 99,991,162,323

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Solution

The third proportional to 44,968,431,435 and 99,991,162,323 is: 222,338,921,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968,431,435 : 99,991,162,323 = 99,991,162,323 : x
  2. Step 2: Convert to fraction form
    44,968,431,435/99,991,162,323 = 99,991,162,323/x
  3. Step 3: Cross multiply
    44,968,431,435x = 99,991,162,323 × 99,991,162,323
  4. Step 4: Simplify right side
    44,968,431,435x = 9,998,232,542,704,534,814,720
  5. Step 5: Solve for x
    x = 9,998,232,542,704,534,814,720/44,968,431,435
  6. Step 6: Final answer
    x = 222,338,921,408.82

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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.