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Finding the Third Proportional to 964,321,845.75 and 2,093,036,107.50

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Solution

The third proportional to 964,321,845.75 and 2,093,036,107.50 is: 4,542,881,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,321,845.75 : 2,093,036,107.50 = 2,093,036,107.50 : x
  2. Step 2: Convert to fraction form
    964,321,845.75/2,093,036,107.50 = 2,093,036,107.50/x
  3. Step 3: Cross multiply
    964,321,845.75x = 2,093,036,107.50 × 2,093,036,107.50
  4. Step 4: Simplify right side
    964,321,845.75x = 4,380,800,147,298,751,488
  5. Step 5: Solve for x
    x = 4,380,800,147,298,751,488/964,321,845.75
  6. Step 6: Final answer
    x = 4,542,881,784.34

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