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Finding the Third Proportional to 952,784,268 and 2,063,854,334

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Solution

The third proportional to 952,784,268 and 2,063,854,334 is: 4,470,576,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,784,268 : 2,063,854,334 = 2,063,854,334 : x
  2. Step 2: Convert to fraction form
    952,784,268/2,063,854,334 = 2,063,854,334/x
  3. Step 3: Cross multiply
    952,784,268x = 2,063,854,334 × 2,063,854,334
  4. Step 4: Simplify right side
    952,784,268x = 4,259,494,711,970,583,552
  5. Step 5: Solve for x
    x = 4,259,494,711,970,583,552/952,784,268
  6. Step 6: Final answer
    x = 4,470,576,241.68

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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.