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Finding the Third Proportional to 8,149,257 and 11,028,109.50

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Solution

The third proportional to 8,149,257 and 11,028,109.50 is: 14,923,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149,257 : 11,028,109.50 = 11,028,109.50 : x
  2. Step 2: Convert to fraction form
    8,149,257/11,028,109.50 = 11,028,109.50/x
  3. Step 3: Cross multiply
    8,149,257x = 11,028,109.50 × 11,028,109.50
  4. Step 4: Simplify right side
    8,149,257x = 121,619,199,143,990.25
  5. Step 5: Solve for x
    x = 121,619,199,143,990.25/8,149,257
  6. Step 6: Final answer
    x = 14,923,961.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.