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Finding the Third Proportional to 36,392,676 and 77,824,200

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Solution

The third proportional to 36,392,676 and 77,824,200 is: 166,423,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,392,676 : 77,824,200 = 77,824,200 : x
  2. Step 2: Convert to fraction form
    36,392,676/77,824,200 = 77,824,200/x
  3. Step 3: Cross multiply
    36,392,676x = 77,824,200 × 77,824,200
  4. Step 4: Simplify right side
    36,392,676x = 6,056,606,105,640,000
  5. Step 5: Solve for x
    x = 6,056,606,105,640,000/36,392,676
  6. Step 6: Final answer
    x = 166,423,763.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.