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Finding the Third Proportional to 1,244,082,913 and 2,672,791,089

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Solution

The third proportional to 1,244,082,913 and 2,672,791,089 is: 5,742,231,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,082,913 : 2,672,791,089 = 2,672,791,089 : x
  2. Step 2: Convert to fraction form
    1,244,082,913/2,672,791,089 = 2,672,791,089/x
  3. Step 3: Cross multiply
    1,244,082,913x = 2,672,791,089 × 2,672,791,089
  4. Step 4: Simplify right side
    1,244,082,913x = 7,143,812,205,437,805,568
  5. Step 5: Solve for x
    x = 7,143,812,205,437,805,568/1,244,082,913
  6. Step 6: Final answer
    x = 5,742,231,591.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.