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Finding the Third Proportional to 16,279,187,981 and 35,262,846,013

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Solution

The third proportional to 16,279,187,981 and 35,262,846,013 is: 76,383,927,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279,187,981 : 35,262,846,013 = 35,262,846,013 : x
  2. Step 2: Convert to fraction form
    16,279,187,981/35,262,846,013 = 35,262,846,013/x
  3. Step 3: Cross multiply
    16,279,187,981x = 35,262,846,013 × 35,262,846,013
  4. Step 4: Simplify right side
    16,279,187,981x = 1,243,468,308,936,549,990,400
  5. Step 5: Solve for x
    x = 1,243,468,308,936,549,990,400/16,279,187,981
  6. Step 6: Final answer
    x = 76,383,927,158.27

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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.