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Finding the Third Proportional to 24,855,277,191 and 54,522,664,050

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Solution

The third proportional to 24,855,277,191 and 54,522,664,050 is: 119,601,196,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855,277,191 : 54,522,664,050 = 54,522,664,050 : x
  2. Step 2: Convert to fraction form
    24,855,277,191/54,522,664,050 = 54,522,664,050/x
  3. Step 3: Cross multiply
    24,855,277,191x = 54,522,664,050 × 54,522,664,050
  4. Step 4: Simplify right side
    24,855,277,191x = 2,972,720,895,109,162,336,256
  5. Step 5: Solve for x
    x = 2,972,720,895,109,162,336,256/24,855,277,191
  6. Step 6: Final answer
    x = 119,601,196,649.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.