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Finding the Third Proportional to 8,413,844,056 and 17,994,810,344

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Solution

The third proportional to 8,413,844,056 and 17,994,810,344 is: 38,485,761,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413,844,056 : 17,994,810,344 = 17,994,810,344 : x
  2. Step 2: Convert to fraction form
    8,413,844,056/17,994,810,344 = 17,994,810,344/x
  3. Step 3: Cross multiply
    8,413,844,056x = 17,994,810,344 × 17,994,810,344
  4. Step 4: Simplify right side
    8,413,844,056x = 323,813,199,316,529,381,376
  5. Step 5: Solve for x
    x = 323,813,199,316,529,381,376/8,413,844,056
  6. Step 6: Final answer
    x = 38,485,761,937.27

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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.