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Finding the Third Proportional to 6,187,546 and 13,289,096

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Solution

The third proportional to 6,187,546 and 13,289,096 is: 28,541,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187,546 : 13,289,096 = 13,289,096 : x
  2. Step 2: Convert to fraction form
    6,187,546/13,289,096 = 13,289,096/x
  3. Step 3: Cross multiply
    6,187,546x = 13,289,096 × 13,289,096
  4. Step 4: Simplify right side
    6,187,546x = 176,600,072,497,216
  5. Step 5: Solve for x
    x = 176,600,072,497,216/6,187,546
  6. Step 6: Final answer
    x = 28,541,213.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.