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Finding the Third Proportional to 7,498,021,115 and 16,124,468,620

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Solution

The third proportional to 7,498,021,115 and 16,124,468,620 is: 34,675,614,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,021,115 : 16,124,468,620 = 16,124,468,620 : x
  2. Step 2: Convert to fraction form
    7,498,021,115/16,124,468,620 = 16,124,468,620/x
  3. Step 3: Cross multiply
    7,498,021,115x = 16,124,468,620 × 16,124,468,620
  4. Step 4: Simplify right side
    7,498,021,115x = 259,998,488,277,364,703,232
  5. Step 5: Solve for x
    x = 259,998,488,277,364,703,232/7,498,021,115
  6. Step 6: Final answer
    x = 34,675,614,310.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.