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Finding the Third Proportional to 20,180,184 and 47,376,206

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Solution

The third proportional to 20,180,184 and 47,376,206 is: 111,223,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,184 : 47,376,206 = 47,376,206 : x
  2. Step 2: Convert to fraction form
    20,180,184/47,376,206 = 47,376,206/x
  3. Step 3: Cross multiply
    20,180,184x = 47,376,206 × 47,376,206
  4. Step 4: Simplify right side
    20,180,184x = 2,244,504,894,954,436
  5. Step 5: Solve for x
    x = 2,244,504,894,954,436/20,180,184
  6. Step 6: Final answer
    x = 111,223,212.58

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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.