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Finding the Third Proportional to 892,217,034 and 1,932,660,180

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Solution

The third proportional to 892,217,034 and 1,932,660,180 is: 4,186,397,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,217,034 : 1,932,660,180 = 1,932,660,180 : x
  2. Step 2: Convert to fraction form
    892,217,034/1,932,660,180 = 1,932,660,180/x
  3. Step 3: Cross multiply
    892,217,034x = 1,932,660,180 × 1,932,660,180
  4. Step 4: Simplify right side
    892,217,034x = 3,735,175,371,357,632,512
  5. Step 5: Solve for x
    x = 3,735,175,371,357,632,512/892,217,034
  6. Step 6: Final answer
    x = 4,186,397,736.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.