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Finding the Third Proportional to 892,217,065.50 and 1,932,660,240.75

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Solution

The third proportional to 892,217,065.50 and 1,932,660,240.75 is: 4,186,397,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,217,065.50 : 1,932,660,240.75 = 1,932,660,240.75 : x
  2. Step 2: Convert to fraction form
    892,217,065.50/1,932,660,240.75 = 1,932,660,240.75/x
  3. Step 3: Cross multiply
    892,217,065.50x = 1,932,660,240.75 × 1,932,660,240.75
  4. Step 4: Simplify right side
    892,217,065.50x = 3,735,175,606,175,847,936
  5. Step 5: Solve for x
    x = 3,735,175,606,175,847,936/892,217,065.50
  6. Step 6: Final answer
    x = 4,186,397,851.61

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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.