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Finding the Third Proportional to 24,933,709,068 and 54,854,099,256

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Solution

The third proportional to 24,933,709,068 and 54,854,099,256 is: 120,678,884,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933,709,068 : 54,854,099,256 = 54,854,099,256 : x
  2. Step 2: Convert to fraction form
    24,933,709,068/54,854,099,256 = 54,854,099,256/x
  3. Step 3: Cross multiply
    24,933,709,068x = 54,854,099,256 × 54,854,099,256
  4. Step 4: Simplify right side
    24,933,709,068x = 3,008,972,205,187,099,787,264
  5. Step 5: Solve for x
    x = 3,008,972,205,187,099,787,264/24,933,709,068
  6. Step 6: Final answer
    x = 120,678,884,837.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.