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Finding the Third Proportional to 4,199,661,828 and 8,998,348,032

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Solution

The third proportional to 4,199,661,828 and 8,998,348,032 is: 19,280,187,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,661,828 : 8,998,348,032 = 8,998,348,032 : x
  2. Step 2: Convert to fraction form
    4,199,661,828/8,998,348,032 = 8,998,348,032/x
  3. Step 3: Cross multiply
    4,199,661,828x = 8,998,348,032 × 8,998,348,032
  4. Step 4: Simplify right side
    4,199,661,828x = 80,970,267,304,998,273,024
  5. Step 5: Solve for x
    x = 80,970,267,304,998,273,024/4,199,661,828
  6. Step 6: Final answer
    x = 19,280,187,458.23

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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.