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Finding the Third Proportional to 11,714,763,189.50 and 17,846,231,330

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Solution

The third proportional to 11,714,763,189.50 and 17,846,231,330 is: 27,186,889,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714,763,189.50 : 17,846,231,330 = 17,846,231,330 : x
  2. Step 2: Convert to fraction form
    11,714,763,189.50/17,846,231,330 = 17,846,231,330/x
  3. Step 3: Cross multiply
    11,714,763,189.50x = 17,846,231,330 × 17,846,231,330
  4. Step 4: Simplify right side
    11,714,763,189.50x = 318,487,972,683,873,583,104
  5. Step 5: Solve for x
    x = 318,487,972,683,873,583,104/11,714,763,189.50
  6. Step 6: Final answer
    x = 27,186,889,528.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.