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Finding the Third Proportional to 391,147,766 and 828,929,481.50

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Solution

The third proportional to 391,147,766 and 828,929,481.50 is: 1,756,686,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,766 : 828,929,481.50 = 828,929,481.50 : x
  2. Step 2: Convert to fraction form
    391,147,766/828,929,481.50 = 828,929,481.50/x
  3. Step 3: Cross multiply
    391,147,766x = 828,929,481.50 × 828,929,481.50
  4. Step 4: Simplify right side
    391,147,766x = 687,124,085,299,858,816
  5. Step 5: Solve for x
    x = 687,124,085,299,858,816/391,147,766
  6. Step 6: Final answer
    x = 1,756,686,717.98

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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.