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Finding the Third Proportional to 1,214,472,717.75 and 1,865,903,103

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Solution

The third proportional to 1,214,472,717.75 and 1,865,903,103 is: 2,866,753,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,472,717.75 : 1,865,903,103 = 1,865,903,103 : x
  2. Step 2: Convert to fraction form
    1,214,472,717.75/1,865,903,103 = 1,865,903,103/x
  3. Step 3: Cross multiply
    1,214,472,717.75x = 1,865,903,103 × 1,865,903,103
  4. Step 4: Simplify right side
    1,214,472,717.75x = 3,481,594,389,785,028,608
  5. Step 5: Solve for x
    x = 3,481,594,389,785,028,608/1,214,472,717.75
  6. Step 6: Final answer
    x = 2,866,753,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.