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Finding the Third Proportional to 3,318,251,247 and 7,109,805,708

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Solution

The third proportional to 3,318,251,247 and 7,109,805,708 is: 15,233,728,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318,251,247 : 7,109,805,708 = 7,109,805,708 : x
  2. Step 2: Convert to fraction form
    3,318,251,247/7,109,805,708 = 7,109,805,708/x
  3. Step 3: Cross multiply
    3,318,251,247x = 7,109,805,708 × 7,109,805,708
  4. Step 4: Simplify right side
    3,318,251,247x = 50,549,337,205,509,382,144
  5. Step 5: Solve for x
    x = 50,549,337,205,509,382,144/3,318,251,247
  6. Step 6: Final answer
    x = 15,233,728,082.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.