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Finding the Third Proportional to 964,321,837 and 2,093,036,089

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Solution

The third proportional to 964,321,837 and 2,093,036,089 is: 4,542,881,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,321,837 : 2,093,036,089 = 2,093,036,089 : x
  2. Step 2: Convert to fraction form
    964,321,837/2,093,036,089 = 2,093,036,089/x
  3. Step 3: Cross multiply
    964,321,837x = 2,093,036,089 × 2,093,036,089
  4. Step 4: Simplify right side
    964,321,837x = 4,380,800,069,856,415,744
  5. Step 5: Solve for x
    x = 4,380,800,069,856,415,744/964,321,837
  6. Step 6: Final answer
    x = 4,542,881,745.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.