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Finding the Third Proportional to 558,883,850,322 and 1,215,690,059,844

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Solution

The third proportional to 558,883,850,322 and 1,215,690,059,844 is: 2,644,381,870,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,883,850,322 : 1,215,690,059,844 = 1,215,690,059,844 : x
  2. Step 2: Convert to fraction form
    558,883,850,322/1,215,690,059,844 = 1,215,690,059,844/x
  3. Step 3: Cross multiply
    558,883,850,322x = 1,215,690,059,844 × 1,215,690,059,844
  4. Step 4: Simplify right side
    558,883,850,322x = 1,477,902,321,603,508,262,928,384
  5. Step 5: Solve for x
    x = 1,477,902,321,603,508,262,928,384/558,883,850,322
  6. Step 6: Final answer
    x = 2,644,381,870,673.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.