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Finding the Third Proportional to 7,498,021,108 and 16,124,468,607

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Solution

The third proportional to 7,498,021,108 and 16,124,468,607 is: 34,675,614,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,021,108 : 16,124,468,607 = 16,124,468,607 : x
  2. Step 2: Convert to fraction form
    7,498,021,108/16,124,468,607 = 16,124,468,607/x
  3. Step 3: Cross multiply
    7,498,021,108x = 16,124,468,607 × 16,124,468,607
  4. Step 4: Simplify right side
    7,498,021,108x = 259,998,487,858,128,519,168
  5. Step 5: Solve for x
    x = 259,998,487,858,128,519,168/7,498,021,108
  6. Step 6: Final answer
    x = 34,675,614,287.18

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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.