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Finding the Third Proportional to 24,941,173,177 and 54,272,998,658

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Solution

The third proportional to 24,941,173,177 and 54,272,998,658 is: 118,100,233,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941,173,177 : 54,272,998,658 = 54,272,998,658 : x
  2. Step 2: Convert to fraction form
    24,941,173,177/54,272,998,658 = 54,272,998,658/x
  3. Step 3: Cross multiply
    24,941,173,177x = 54,272,998,658 × 54,272,998,658
  4. Step 4: Simplify right side
    24,941,173,177x = 2,945,558,383,331,269,672,960
  5. Step 5: Solve for x
    x = 2,945,558,383,331,269,672,960/24,941,173,177
  6. Step 6: Final answer
    x = 118,100,233,795.24

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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.