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Finding the Third Proportional to 1,469,517,170 and 3,172,802,587.75

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Solution

The third proportional to 1,469,517,170 and 3,172,802,587.75 is: 6,850,329,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,517,170 : 3,172,802,587.75 = 3,172,802,587.75 : x
  2. Step 2: Convert to fraction form
    1,469,517,170/3,172,802,587.75 = 3,172,802,587.75/x
  3. Step 3: Cross multiply
    1,469,517,170x = 3,172,802,587.75 × 3,172,802,587.75
  4. Step 4: Simplify right side
    1,469,517,170x = 10,066,676,260,833,095,680
  5. Step 5: Solve for x
    x = 10,066,676,260,833,095,680/1,469,517,170
  6. Step 6: Final answer
    x = 6,850,329,119.21

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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.