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Finding the Third Proportional to 36,769,080 and 80,832,046

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Solution

The third proportional to 36,769,080 and 80,832,046 is: 177,698,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769,080 : 80,832,046 = 80,832,046 : x
  2. Step 2: Convert to fraction form
    36,769,080/80,832,046 = 80,832,046/x
  3. Step 3: Cross multiply
    36,769,080x = 80,832,046 × 80,832,046
  4. Step 4: Simplify right side
    36,769,080x = 6,533,819,660,546,116
  5. Step 5: Solve for x
    x = 6,533,819,660,546,116/36,769,080
  6. Step 6: Final answer
    x = 177,698,752.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.