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Finding the Third Proportional to 24,941,173,176 and 54,272,998,656

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Solution

The third proportional to 24,941,173,176 and 54,272,998,656 is: 118,100,233,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941,173,176 : 54,272,998,656 = 54,272,998,656 : x
  2. Step 2: Convert to fraction form
    24,941,173,176/54,272,998,656 = 54,272,998,656/x
  3. Step 3: Cross multiply
    24,941,173,176x = 54,272,998,656 × 54,272,998,656
  4. Step 4: Simplify right side
    24,941,173,176x = 2,945,558,383,114,177,740,800
  5. Step 5: Solve for x
    x = 2,945,558,383,114,177,740,800/24,941,173,176
  6. Step 6: Final answer
    x = 118,100,233,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.