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Finding the Third Proportional to 11,714,763,568 and 17,846,231,910

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Solution

The third proportional to 11,714,763,568 and 17,846,231,910 is: 27,186,890,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714,763,568 : 17,846,231,910 = 17,846,231,910 : x
  2. Step 2: Convert to fraction form
    11,714,763,568/17,846,231,910 = 17,846,231,910/x
  3. Step 3: Cross multiply
    11,714,763,568x = 17,846,231,910 × 17,846,231,910
  4. Step 4: Simplify right side
    11,714,763,568x = 318,487,993,385,502,244,864
  5. Step 5: Solve for x
    x = 318,487,993,385,502,244,864/11,714,763,568
  6. Step 6: Final answer
    x = 27,186,890,417.10

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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.