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Finding the Third Proportional to 6,674,008,992 and 10,096,910,082

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Solution

The third proportional to 6,674,008,992 and 10,096,910,082 is: 15,275,315,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674,008,992 : 10,096,910,082 = 10,096,910,082 : x
  2. Step 2: Convert to fraction form
    6,674,008,992/10,096,910,082 = 10,096,910,082/x
  3. Step 3: Cross multiply
    6,674,008,992x = 10,096,910,082 × 10,096,910,082
  4. Step 4: Simplify right side
    6,674,008,992x = 101,947,593,203,993,247,744
  5. Step 5: Solve for x
    x = 101,947,593,203,993,247,744/6,674,008,992
  6. Step 6: Final answer
    x = 15,275,315,530.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.