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Finding the Third Proportional to 203,546,504,858 and 447,470,834,056

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Solution

The third proportional to 203,546,504,858 and 447,470,834,056 is: 983,707,126,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,546,504,858 : 447,470,834,056 = 447,470,834,056 : x
  2. Step 2: Convert to fraction form
    203,546,504,858/447,470,834,056 = 447,470,834,056/x
  3. Step 3: Cross multiply
    203,546,504,858x = 447,470,834,056 × 447,470,834,056
  4. Step 4: Simplify right side
    203,546,504,858x = 200,230,147,330,772,295,483,392
  5. Step 5: Solve for x
    x = 200,230,147,330,772,295,483,392/203,546,504,858
  6. Step 6: Final answer
    x = 983,707,126,145.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.