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Finding the Third Proportional to 4,883,400.14 and 7,183,946.95

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Solution

The third proportional to 4,883,400.14 and 7,183,946.95 is: 10,568,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883,400.14 : 7,183,946.95 = 7,183,946.95 : x
  2. Step 2: Convert to fraction form
    4,883,400.14/7,183,946.95 = 7,183,946.95/x
  3. Step 3: Cross multiply
    4,883,400.14x = 7,183,946.95 × 7,183,946.95
  4. Step 4: Simplify right side
    4,883,400.14x = 51,609,093,825,313.97
  5. Step 5: Solve for x
    x = 51,609,093,825,313.97/4,883,400.14
  6. Step 6: Final answer
    x = 10,568,270.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.