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Finding the Third Proportional to 375,198,217 and 814,984,680

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Solution

The third proportional to 375,198,217 and 814,984,680 is: 1,770,264,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,198,217 : 814,984,680 = 814,984,680 : x
  2. Step 2: Convert to fraction form
    375,198,217/814,984,680 = 814,984,680/x
  3. Step 3: Cross multiply
    375,198,217x = 814,984,680 × 814,984,680
  4. Step 4: Simplify right side
    375,198,217x = 664,200,028,634,702,336
  5. Step 5: Solve for x
    x = 664,200,028,634,702,336/375,198,217
  6. Step 6: Final answer
    x = 1,770,264,352.39

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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.