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Finding the Third Proportional to 5,154,045 and 10,177,993.50

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Solution

The third proportional to 5,154,045 and 10,177,993.50 is: 20,099,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154,045 : 10,177,993.50 = 10,177,993.50 : x
  2. Step 2: Convert to fraction form
    5,154,045/10,177,993.50 = 10,177,993.50/x
  3. Step 3: Cross multiply
    5,154,045x = 10,177,993.50 × 10,177,993.50
  4. Step 4: Simplify right side
    5,154,045x = 103,591,551,686,042.25
  5. Step 5: Solve for x
    x = 103,591,551,686,042.25/5,154,045
  6. Step 6: Final answer
    x = 20,099,077.85

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.