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Finding the Third Proportional to 37,464,585,504 and 80,900,376,189

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Solution

The third proportional to 37,464,585,504 and 80,900,376,189 is: 174,694,869,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464,585,504 : 80,900,376,189 = 80,900,376,189 : x
  2. Step 2: Convert to fraction form
    37,464,585,504/80,900,376,189 = 80,900,376,189/x
  3. Step 3: Cross multiply
    37,464,585,504x = 80,900,376,189 × 80,900,376,189
  4. Step 4: Simplify right side
    37,464,585,504x = 6,544,870,867,521,718,190,080
  5. Step 5: Solve for x
    x = 6,544,870,867,521,718,190,080/37,464,585,504
  6. Step 6: Final answer
    x = 174,694,869,287.24

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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.