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Finding the Third Proportional to 7,972,805,168.44 and 17,082,820,797.19

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Solution

The third proportional to 7,972,805,168.44 and 17,082,820,797.19 is: 36,602,269,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972,805,168.44 : 17,082,820,797.19 = 17,082,820,797.19 : x
  2. Step 2: Convert to fraction form
    7,972,805,168.44/17,082,820,797.19 = 17,082,820,797.19/x
  3. Step 3: Cross multiply
    7,972,805,168.44x = 17,082,820,797.19 × 17,082,820,797.19
  4. Step 4: Simplify right side
    7,972,805,168.44x = 291,822,766,388,838,858,752
  5. Step 5: Solve for x
    x = 291,822,766,388,838,858,752/7,972,805,168.44
  6. Step 6: Final answer
    x = 36,602,269,869.09

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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.