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Finding the Third Proportional to 11,467,876,199,859 and 24,571,488,335,490

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Solution

The third proportional to 11,467,876,199,859 and 24,571,488,335,490 is: 52,647,763,936,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467,876,199,859 : 24,571,488,335,490 = 24,571,488,335,490 : x
  2. Step 2: Convert to fraction form
    11,467,876,199,859/24,571,488,335,490 = 24,571,488,335,490/x
  3. Step 3: Cross multiply
    11,467,876,199,859x = 24,571,488,335,490 × 24,571,488,335,490
  4. Step 4: Simplify right side
    11,467,876,199,859x = 603,758,039,021,121,163,489,181,696
  5. Step 5: Solve for x
    x = 603,758,039,021,121,163,489,181,696/11,467,876,199,859
  6. Step 6: Final answer
    x = 52,647,763,936,320.18

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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.