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Finding the Third Proportional to 4,947,183.84 and 7,567,902.14

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Solution

The third proportional to 4,947,183.84 and 7,567,902.14 is: 11,576,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,183.84 : 7,567,902.14 = 7,567,902.14 : x
  2. Step 2: Convert to fraction form
    4,947,183.84/7,567,902.14 = 7,567,902.14/x
  3. Step 3: Cross multiply
    4,947,183.84x = 7,567,902.14 × 7,567,902.14
  4. Step 4: Simplify right side
    4,947,183.84x = 57,273,142,810,076.46
  5. Step 5: Solve for x
    x = 57,273,142,810,076.46/4,947,183.84
  6. Step 6: Final answer
    x = 11,576,918.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.