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Finding the Third Proportional to 4,199,661,837 and 8,998,348,052.25

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Solution

The third proportional to 4,199,661,837 and 8,998,348,052.25 is: 19,280,187,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,661,837 : 8,998,348,052.25 = 8,998,348,052.25 : x
  2. Step 2: Convert to fraction form
    4,199,661,837/8,998,348,052.25 = 8,998,348,052.25/x
  3. Step 3: Cross multiply
    4,199,661,837x = 8,998,348,052.25 × 8,998,348,052.25
  4. Step 4: Simplify right side
    4,199,661,837x = 80,970,267,669,431,369,728
  5. Step 5: Solve for x
    x = 80,970,267,669,431,369,728/4,199,661,837
  6. Step 6: Final answer
    x = 19,280,187,503.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.