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Finding the Third Proportional to 3,687,391,992 and 8,110,277,568

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Solution

The third proportional to 3,687,391,992 and 8,110,277,568 is: 17,838,245,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687,391,992 : 8,110,277,568 = 8,110,277,568 : x
  2. Step 2: Convert to fraction form
    3,687,391,992/8,110,277,568 = 8,110,277,568/x
  3. Step 3: Cross multiply
    3,687,391,992x = 8,110,277,568 × 8,110,277,568
  4. Step 4: Simplify right side
    3,687,391,992x = 65,776,602,230,003,990,528
  5. Step 5: Solve for x
    x = 65,776,602,230,003,990,528/3,687,391,992
  6. Step 6: Final answer
    x = 17,838,245,126.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.