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Finding the Third Proportional to 3,261,152,919,452.40 and 7,094,866,952,375.20

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Solution

The third proportional to 3,261,152,919,452.40 and 7,094,866,952,375.20 is: 15,435,380,773,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261,152,919,452.40 : 7,094,866,952,375.20 = 7,094,866,952,375.20 : x
  2. Step 2: Convert to fraction form
    3,261,152,919,452.40/7,094,866,952,375.20 = 7,094,866,952,375.20/x
  3. Step 3: Cross multiply
    3,261,152,919,452.40x = 7,094,866,952,375.20 × 7,094,866,952,375.20
  4. Step 4: Simplify right side
    3,261,152,919,452.40x = 50,337,137,071,905,757,965,844,480
  5. Step 5: Solve for x
    x = 50,337,137,071,905,757,965,844,480/3,261,152,919,452.40
  6. Step 6: Final answer
    x = 15,435,380,773,361.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.