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Finding the Third Proportional to 1,414,015,247 and 3,072,784,909

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Solution

The third proportional to 1,414,015,247 and 3,072,784,909 is: 6,677,443,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,015,247 : 3,072,784,909 = 3,072,784,909 : x
  2. Step 2: Convert to fraction form
    1,414,015,247/3,072,784,909 = 3,072,784,909/x
  3. Step 3: Cross multiply
    1,414,015,247x = 3,072,784,909 × 3,072,784,909
  4. Step 4: Simplify right side
    1,414,015,247x = 9,442,007,096,978,139,136
  5. Step 5: Solve for x
    x = 9,442,007,096,978,139,136/1,414,015,247
  6. Step 6: Final answer
    x = 6,677,443,625.17

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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.