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Finding the Third Proportional to 960,691,584.94 and 1,451,273,152.50

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Solution

The third proportional to 960,691,584.94 and 1,451,273,152.50 is: 2,192,372,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,691,584.94 : 1,451,273,152.50 = 1,451,273,152.50 : x
  2. Step 2: Convert to fraction form
    960,691,584.94/1,451,273,152.50 = 1,451,273,152.50/x
  3. Step 3: Cross multiply
    960,691,584.94x = 1,451,273,152.50 × 1,451,273,152.50
  4. Step 4: Simplify right side
    960,691,584.94x = 2,106,193,763,167,288,320
  5. Step 5: Solve for x
    x = 2,106,193,763,167,288,320/960,691,584.94
  6. Step 6: Final answer
    x = 2,192,372,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.