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Finding the Third Proportional to 391,147,791.75 and 828,929,524.50

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Solution

The third proportional to 391,147,791.75 and 828,929,524.50 is: 1,756,686,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,791.75 : 828,929,524.50 = 828,929,524.50 : x
  2. Step 2: Convert to fraction form
    391,147,791.75/828,929,524.50 = 828,929,524.50/x
  3. Step 3: Cross multiply
    391,147,791.75x = 828,929,524.50 × 828,929,524.50
  4. Step 4: Simplify right side
    391,147,791.75x = 687,124,156,587,796,096
  5. Step 5: Solve for x
    x = 687,124,156,587,796,096/391,147,791.75
  6. Step 6: Final answer
    x = 1,756,686,784.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.