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Finding the Third Proportional to 8,189,014.50 and 12,845,040.75

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Solution

The third proportional to 8,189,014.50 and 12,845,040.75 is: 20,148,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189,014.50 : 12,845,040.75 = 12,845,040.75 : x
  2. Step 2: Convert to fraction form
    8,189,014.50/12,845,040.75 = 12,845,040.75/x
  3. Step 3: Cross multiply
    8,189,014.50x = 12,845,040.75 × 12,845,040.75
  4. Step 4: Simplify right side
    8,189,014.50x = 164,995,071,869,160.56
  5. Step 5: Solve for x
    x = 164,995,071,869,160.56/8,189,014.50
  6. Step 6: Final answer
    x = 20,148,342.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.