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Finding the Third Proportional to 5,032,490,028.75 and 7,505,093,860.88

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Solution

The third proportional to 5,032,490,028.75 and 7,505,093,860.88 is: 11,192,557,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032,490,028.75 : 7,505,093,860.88 = 7,505,093,860.88 : x
  2. Step 2: Convert to fraction form
    5,032,490,028.75/7,505,093,860.88 = 7,505,093,860.88/x
  3. Step 3: Cross multiply
    5,032,490,028.75x = 7,505,093,860.88 × 7,505,093,860.88
  4. Step 4: Simplify right side
    5,032,490,028.75x = 56,326,433,860,543,610,880
  5. Step 5: Solve for x
    x = 56,326,433,860,543,610,880/5,032,490,028.75
  6. Step 6: Final answer
    x = 11,192,557,469.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.