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Finding the Third Proportional to 16,279,187,979.19 and 35,262,846,008.63

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Solution

The third proportional to 16,279,187,979.19 and 35,262,846,008.63 is: 76,383,927,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279,187,979.19 : 35,262,846,008.63 = 35,262,846,008.63 : x
  2. Step 2: Convert to fraction form
    16,279,187,979.19/35,262,846,008.63 = 35,262,846,008.63/x
  3. Step 3: Cross multiply
    16,279,187,979.19x = 35,262,846,008.63 × 35,262,846,008.63
  4. Step 4: Simplify right side
    16,279,187,979.19x = 1,243,468,308,628,000,210,944
  5. Step 5: Solve for x
    x = 1,243,468,308,628,000,210,944/16,279,187,979.19
  6. Step 6: Final answer
    x = 76,383,927,147.82

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