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Finding the Third Proportional to 24,954,284,925 and 55,487,991,744

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Solution

The third proportional to 24,954,284,925 and 55,487,991,744 is: 123,382,306,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954,284,925 : 55,487,991,744 = 55,487,991,744 : x
  2. Step 2: Convert to fraction form
    24,954,284,925/55,487,991,744 = 55,487,991,744/x
  3. Step 3: Cross multiply
    24,954,284,925x = 55,487,991,744 × 55,487,991,744
  4. Step 4: Simplify right side
    24,954,284,925x = 3,078,917,227,782,212,157,440
  5. Step 5: Solve for x
    x = 3,078,917,227,782,212,157,440/24,954,284,925
  6. Step 6: Final answer
    x = 123,382,306,366.86

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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.