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Finding the Third Proportional to 10,524,536,193 and 23,402,192,874

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Solution

The third proportional to 10,524,536,193 and 23,402,192,874 is: 52,036,747,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524,536,193 : 23,402,192,874 = 23,402,192,874 : x
  2. Step 2: Convert to fraction form
    10,524,536,193/23,402,192,874 = 23,402,192,874/x
  3. Step 3: Cross multiply
    10,524,536,193x = 23,402,192,874 × 23,402,192,874
  4. Step 4: Simplify right side
    10,524,536,193x = 547,662,631,311,896,412,160
  5. Step 5: Solve for x
    x = 547,662,631,311,896,412,160/10,524,536,193
  6. Step 6: Final answer
    x = 52,036,747,393.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.