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Finding the Third Proportional to 36,769,075 and 80,832,038

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Solution

The third proportional to 36,769,075 and 80,832,038 is: 177,698,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769,075 : 80,832,038 = 80,832,038 : x
  2. Step 2: Convert to fraction form
    36,769,075/80,832,038 = 80,832,038/x
  3. Step 3: Cross multiply
    36,769,075x = 80,832,038 × 80,832,038
  4. Step 4: Simplify right side
    36,769,075x = 6,533,818,367,233,444
  5. Step 5: Solve for x
    x = 6,533,818,367,233,444/36,769,075
  6. Step 6: Final answer
    x = 177,698,741.87

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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.