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Finding the Third Proportional to 375,198,211.50 and 814,984,668.75

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Solution

The third proportional to 375,198,211.50 and 814,984,668.75 is: 1,770,264,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,198,211.50 : 814,984,668.75 = 814,984,668.75 : x
  2. Step 2: Convert to fraction form
    375,198,211.50/814,984,668.75 = 814,984,668.75/x
  3. Step 3: Cross multiply
    375,198,211.50x = 814,984,668.75 × 814,984,668.75
  4. Step 4: Simplify right side
    375,198,211.50x = 664,200,010,297,547,264
  5. Step 5: Solve for x
    x = 664,200,010,297,547,264/375,198,211.50
  6. Step 6: Final answer
    x = 1,770,264,329.47

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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.