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Finding the Third Proportional to 361,733,268 and 784,715,118

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Solution

The third proportional to 361,733,268 and 784,715,118 is: 1,702,297,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,733,268 : 784,715,118 = 784,715,118 : x
  2. Step 2: Convert to fraction form
    361,733,268/784,715,118 = 784,715,118/x
  3. Step 3: Cross multiply
    361,733,268x = 784,715,118 × 784,715,118
  4. Step 4: Simplify right side
    361,733,268x = 615,777,816,417,753,984
  5. Step 5: Solve for x
    x = 615,777,816,417,753,984/361,733,268
  6. Step 6: Final answer
    x = 1,702,297,993.83

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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.