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Finding the Third Proportional to 12,106,543,122 and 17,041,251,427.88

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Solution

The third proportional to 12,106,543,122 and 17,041,251,427.88 is: 23,987,379,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106,543,122 : 17,041,251,427.88 = 17,041,251,427.88 : x
  2. Step 2: Convert to fraction form
    12,106,543,122/17,041,251,427.88 = 17,041,251,427.88/x
  3. Step 3: Cross multiply
    12,106,543,122x = 17,041,251,427.88 × 17,041,251,427.88
  4. Step 4: Simplify right side
    12,106,543,122x = 290,404,250,228,051,738,624
  5. Step 5: Solve for x
    x = 290,404,250,228,051,738,624/12,106,543,122
  6. Step 6: Final answer
    x = 23,987,379,989.61

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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.