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Finding the Third Proportional to 362,171,515 and 784,510,165

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Solution

The third proportional to 362,171,515 and 784,510,165 is: 1,699,350,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,171,515 : 784,510,165 = 784,510,165 : x
  2. Step 2: Convert to fraction form
    362,171,515/784,510,165 = 784,510,165/x
  3. Step 3: Cross multiply
    362,171,515x = 784,510,165 × 784,510,165
  4. Step 4: Simplify right side
    362,171,515x = 615,456,198,988,327,168
  5. Step 5: Solve for x
    x = 615,456,198,988,327,168/362,171,515
  6. Step 6: Final answer
    x = 1,699,350,096.56

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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.