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Finding the Third Proportional to 1,214,619,796,612 and 2,529,772,956,392

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Solution

The third proportional to 1,214,619,796,612 and 2,529,772,956,392 is: 5,268,933,726,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,619,796,612 : 2,529,772,956,392 = 2,529,772,956,392 : x
  2. Step 2: Convert to fraction form
    1,214,619,796,612/2,529,772,956,392 = 2,529,772,956,392/x
  3. Step 3: Cross multiply
    1,214,619,796,612x = 2,529,772,956,392 × 2,529,772,956,392
  4. Step 4: Simplify right side
    1,214,619,796,612x = 6,399,751,210,892,320,349,093,888
  5. Step 5: Solve for x
    x = 6,399,751,210,892,320,349,093,888/1,214,619,796,612
  6. Step 6: Final answer
    x = 5,268,933,726,210.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.