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Finding the Third Proportional to 11,467,876,199,853 and 24,571,488,335,478

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Solution

The third proportional to 11,467,876,199,853 and 24,571,488,335,478 is: 52,647,763,936,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467,876,199,853 : 24,571,488,335,478 = 24,571,488,335,478 : x
  2. Step 2: Convert to fraction form
    11,467,876,199,853/24,571,488,335,478 = 24,571,488,335,478/x
  3. Step 3: Cross multiply
    11,467,876,199,853x = 24,571,488,335,478 × 24,571,488,335,478
  4. Step 4: Simplify right side
    11,467,876,199,853x = 603,758,039,020,531,412,939,833,344
  5. Step 5: Solve for x
    x = 603,758,039,020,531,412,939,833,344/11,467,876,199,853
  6. Step 6: Final answer
    x = 52,647,763,936,296.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.