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Finding the Third Proportional to 858,723,568 and 1,886,145,728

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Solution

The third proportional to 858,723,568 and 1,886,145,728 is: 4,142,829,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,723,568 : 1,886,145,728 = 1,886,145,728 : x
  2. Step 2: Convert to fraction form
    858,723,568/1,886,145,728 = 1,886,145,728/x
  3. Step 3: Cross multiply
    858,723,568x = 1,886,145,728 × 1,886,145,728
  4. Step 4: Simplify right side
    858,723,568x = 3,557,545,707,252,649,984
  5. Step 5: Solve for x
    x = 3,557,545,707,252,649,984/858,723,568
  6. Step 6: Final answer
    x = 4,142,829,939.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.