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Finding the Third Proportional to 12,106,543,115 and 17,041,251,418

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Solution

The third proportional to 12,106,543,115 and 17,041,251,418 is: 23,987,379,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106,543,115 : 17,041,251,418 = 17,041,251,418 : x
  2. Step 2: Convert to fraction form
    12,106,543,115/17,041,251,418 = 17,041,251,418/x
  3. Step 3: Cross multiply
    12,106,543,115x = 17,041,251,418 × 17,041,251,418
  4. Step 4: Simplify right side
    12,106,543,115x = 290,404,249,891,487,023,104
  5. Step 5: Solve for x
    x = 290,404,249,891,487,023,104/12,106,543,115
  6. Step 6: Final answer
    x = 23,987,379,975.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.