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Finding the Third Proportional to 2,203,964,771.63 and 4,795,335,270

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Solution

The third proportional to 2,203,964,771.63 and 4,795,335,270 is: 10,433,578,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,964,771.63 : 4,795,335,270 = 4,795,335,270 : x
  2. Step 2: Convert to fraction form
    2,203,964,771.63/4,795,335,270 = 4,795,335,270/x
  3. Step 3: Cross multiply
    2,203,964,771.63x = 4,795,335,270 × 4,795,335,270
  4. Step 4: Simplify right side
    2,203,964,771.63x = 22,995,240,351,705,972,736
  5. Step 5: Solve for x
    x = 22,995,240,351,705,972,736/2,203,964,771.63
  6. Step 6: Final answer
    x = 10,433,578,906.41

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Why These Related Problems?

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