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Finding the Third Proportional to 964,319,825 and 2,093,032,012

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Solution

The third proportional to 964,319,825 and 2,093,032,012 is: 4,542,873,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,319,825 : 2,093,032,012 = 2,093,032,012 : x
  2. Step 2: Convert to fraction form
    964,319,825/2,093,032,012 = 2,093,032,012/x
  3. Step 3: Cross multiply
    964,319,825x = 2,093,032,012 × 2,093,032,012
  4. Step 4: Simplify right side
    964,319,825x = 4,380,783,003,256,768,000
  5. Step 5: Solve for x
    x = 4,380,783,003,256,768,000/964,319,825
  6. Step 6: Final answer
    x = 4,542,873,525.66

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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.