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Finding the Third Proportional to 8,395,748,796 and 18,373,072,632

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Solution

The third proportional to 8,395,748,796 and 18,373,072,632 is: 40,207,229,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395,748,796 : 18,373,072,632 = 18,373,072,632 : x
  2. Step 2: Convert to fraction form
    8,395,748,796/18,373,072,632 = 18,373,072,632/x
  3. Step 3: Cross multiply
    8,395,748,796x = 18,373,072,632 × 18,373,072,632
  4. Step 4: Simplify right side
    8,395,748,796x = 337,569,797,940,747,436,032
  5. Step 5: Solve for x
    x = 337,569,797,940,747,436,032/8,395,748,796
  6. Step 6: Final answer
    x = 40,207,229,413.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.