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Finding the Third Proportional to 412,121,472 and 858,084,096

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Solution

The third proportional to 412,121,472 and 858,084,096 is: 1,786,629,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,121,472 : 858,084,096 = 858,084,096 : x
  2. Step 2: Convert to fraction form
    412,121,472/858,084,096 = 858,084,096/x
  3. Step 3: Cross multiply
    412,121,472x = 858,084,096 × 858,084,096
  4. Step 4: Simplify right side
    412,121,472x = 736,308,315,808,137,216
  5. Step 5: Solve for x
    x = 736,308,315,808,137,216/412,121,472
  6. Step 6: Final answer
    x = 1,786,629,345.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.