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Finding the Third Proportional to 10,149,867 and 15,546,289.50

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Solution

The third proportional to 10,149,867 and 15,546,289.50 is: 23,811,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,867 : 15,546,289.50 = 15,546,289.50 : x
  2. Step 2: Convert to fraction form
    10,149,867/15,546,289.50 = 15,546,289.50/x
  3. Step 3: Cross multiply
    10,149,867x = 15,546,289.50 × 15,546,289.50
  4. Step 4: Simplify right side
    10,149,867x = 241,687,117,217,810.25
  5. Step 5: Solve for x
    x = 241,687,117,217,810.25/10,149,867
  6. Step 6: Final answer
    x = 23,811,850.66

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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.