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Finding the Third Proportional to 36,097,880 and 77,950,168

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Solution

The third proportional to 36,097,880 and 77,950,168 is: 168,326,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097,880 : 77,950,168 = 77,950,168 : x
  2. Step 2: Convert to fraction form
    36,097,880/77,950,168 = 77,950,168/x
  3. Step 3: Cross multiply
    36,097,880x = 77,950,168 × 77,950,168
  4. Step 4: Simplify right side
    36,097,880x = 6,076,228,691,228,224
  5. Step 5: Solve for x
    x = 6,076,228,691,228,224/36,097,880
  6. Step 6: Final answer
    x = 168,326,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.