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Finding the Third Proportional to 10,468,105.50 and 15,639,417

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Solution

The third proportional to 10,468,105.50 and 15,639,417 is: 23,365,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468,105.50 : 15,639,417 = 15,639,417 : x
  2. Step 2: Convert to fraction form
    10,468,105.50/15,639,417 = 15,639,417/x
  3. Step 3: Cross multiply
    10,468,105.50x = 15,639,417 × 15,639,417
  4. Step 4: Simplify right side
    10,468,105.50x = 244,591,364,099,889
  5. Step 5: Solve for x
    x = 244,591,364,099,889/10,468,105.50
  6. Step 6: Final answer
    x = 23,365,389.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.