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Finding the Third Proportional to 2,967,659,780,520 and 6,428,102,952,912

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Solution

The third proportional to 2,967,659,780,520 and 6,428,102,952,912 is: 13,923,599,950,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,659,780,520 : 6,428,102,952,912 = 6,428,102,952,912 : x
  2. Step 2: Convert to fraction form
    2,967,659,780,520/6,428,102,952,912 = 6,428,102,952,912/x
  3. Step 3: Cross multiply
    2,967,659,780,520x = 6,428,102,952,912 × 6,428,102,952,912
  4. Step 4: Simplify right side
    2,967,659,780,520x = 41,320,507,573,235,972,409,655,296
  5. Step 5: Solve for x
    x = 41,320,507,573,235,972,409,655,296/2,967,659,780,520
  6. Step 6: Final answer
    x = 13,923,599,950,529.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.