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Finding the Third Proportional to 5,997,958,760,954 and 9,137,270,449,947

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Solution

The third proportional to 5,997,958,760,954 and 9,137,270,449,947 is: 13,919,687,447,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,958,760,954 : 9,137,270,449,947 = 9,137,270,449,947 : x
  2. Step 2: Convert to fraction form
    5,997,958,760,954/9,137,270,449,947 = 9,137,270,449,947/x
  3. Step 3: Cross multiply
    5,997,958,760,954x = 9,137,270,449,947 × 9,137,270,449,947
  4. Step 4: Simplify right side
    5,997,958,760,954x = 83,489,711,275,474,652,495,872,000
  5. Step 5: Solve for x
    x = 83,489,711,275,474,652,495,872,000/5,997,958,760,954
  6. Step 6: Final answer
    x = 13,919,687,447,500.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.