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Finding the Third Proportional to 5,892,498,872 and 12,765,770,040

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Solution

The third proportional to 5,892,498,872 and 12,765,770,040 is: 27,656,328,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892,498,872 : 12,765,770,040 = 12,765,770,040 : x
  2. Step 2: Convert to fraction form
    5,892,498,872/12,765,770,040 = 12,765,770,040/x
  3. Step 3: Cross multiply
    5,892,498,872x = 12,765,770,040 × 12,765,770,040
  4. Step 4: Simplify right side
    5,892,498,872x = 162,964,884,714,161,602,560
  5. Step 5: Solve for x
    x = 162,964,884,714,161,602,560/5,892,498,872
  6. Step 6: Final answer
    x = 27,656,328,538.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.