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Finding the Third Proportional to 626,215,573.75 and 1,236,624,469.75

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Solution

The third proportional to 626,215,573.75 and 1,236,624,469.75 is: 2,442,034,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,215,573.75 : 1,236,624,469.75 = 1,236,624,469.75 : x
  2. Step 2: Convert to fraction form
    626,215,573.75/1,236,624,469.75 = 1,236,624,469.75/x
  3. Step 3: Cross multiply
    626,215,573.75x = 1,236,624,469.75 × 1,236,624,469.75
  4. Step 4: Simplify right side
    626,215,573.75x = 1,529,240,079,184,468,736
  5. Step 5: Solve for x
    x = 1,529,240,079,184,468,736/626,215,573.75
  6. Step 6: Final answer
    x = 2,442,034,569.70

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.