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Finding the Third Proportional to 36,392,674 and 77,824,196

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Solution

The third proportional to 36,392,674 and 77,824,196 is: 166,423,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,392,674 : 77,824,196 = 77,824,196 : x
  2. Step 2: Convert to fraction form
    36,392,674/77,824,196 = 77,824,196/x
  3. Step 3: Cross multiply
    36,392,674x = 77,824,196 × 77,824,196
  4. Step 4: Simplify right side
    36,392,674x = 6,056,605,483,046,416
  5. Step 5: Solve for x
    x = 6,056,605,483,046,416/36,392,674
  6. Step 6: Final answer
    x = 166,423,755.59

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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.