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Finding the Third Proportional to 447,451,755.75 and 1,054,768,199.63

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Solution

The third proportional to 447,451,755.75 and 1,054,768,199.63 is: 2,486,381,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,451,755.75 : 1,054,768,199.63 = 1,054,768,199.63 : x
  2. Step 2: Convert to fraction form
    447,451,755.75/1,054,768,199.63 = 1,054,768,199.63/x
  3. Step 3: Cross multiply
    447,451,755.75x = 1,054,768,199.63 × 1,054,768,199.63
  4. Step 4: Simplify right side
    447,451,755.75x = 1,112,535,954,940,163,840
  5. Step 5: Solve for x
    x = 1,112,535,954,940,163,840/447,451,755.75
  6. Step 6: Final answer
    x = 2,486,381,918.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.