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Finding the Third Proportional to 36,666,062 and 80,653,864

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Solution

The third proportional to 36,666,062 and 80,653,864 is: 177,413,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,666,062 : 80,653,864 = 80,653,864 : x
  2. Step 2: Convert to fraction form
    36,666,062/80,653,864 = 80,653,864/x
  3. Step 3: Cross multiply
    36,666,062x = 80,653,864 × 80,653,864
  4. Step 4: Simplify right side
    36,666,062x = 6,505,045,778,130,496
  5. Step 5: Solve for x
    x = 6,505,045,778,130,496/36,666,062
  6. Step 6: Final answer
    x = 177,413,265.11

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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.