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Finding the Third Proportional to 18,449,930,091 and 27,553,994,212.50

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Solution

The third proportional to 18,449,930,091 and 27,553,994,212.50 is: 41,150,432,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,449,930,091 : 27,553,994,212.50 = 27,553,994,212.50 : x
  2. Step 2: Convert to fraction form
    18,449,930,091/27,553,994,212.50 = 27,553,994,212.50/x
  3. Step 3: Cross multiply
    18,449,930,091x = 27,553,994,212.50 × 27,553,994,212.50
  4. Step 4: Simplify right side
    18,449,930,091x = 759,222,597,062,483,509,248
  5. Step 5: Solve for x
    x = 759,222,597,062,483,509,248/18,449,930,091
  6. Step 6: Final answer
    x = 41,150,432,186.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.