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Finding the Third Proportional to 20,180,180 and 47,376,196

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Solution

The third proportional to 20,180,180 and 47,376,196 is: 111,223,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,180 : 47,376,196 = 47,376,196 : x
  2. Step 2: Convert to fraction form
    20,180,180/47,376,196 = 47,376,196/x
  3. Step 3: Cross multiply
    20,180,180x = 47,376,196 × 47,376,196
  4. Step 4: Simplify right side
    20,180,180x = 2,244,503,947,430,416
  5. Step 5: Solve for x
    x = 2,244,503,947,430,416/20,180,180
  6. Step 6: Final answer
    x = 111,223,187.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.