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Finding the Third Proportional to 20,180,178 and 47,376,191.25

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Solution

The third proportional to 20,180,178 and 47,376,191.25 is: 111,223,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,178 : 47,376,191.25 = 47,376,191.25 : x
  2. Step 2: Convert to fraction form
    20,180,178/47,376,191.25 = 47,376,191.25/x
  3. Step 3: Cross multiply
    20,180,178x = 47,376,191.25 × 47,376,191.25
  4. Step 4: Simplify right side
    20,180,178x = 2,244,503,497,356,576.50
  5. Step 5: Solve for x
    x = 2,244,503,497,356,576.50/20,180,178
  6. Step 6: Final answer
    x = 111,223,176.39

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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.