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Finding the Third Proportional to 850,789,962 and 1,846,782,144

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Solution

The third proportional to 850,789,962 and 1,846,782,144 is: 4,008,750,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,789,962 : 1,846,782,144 = 1,846,782,144 : x
  2. Step 2: Convert to fraction form
    850,789,962/1,846,782,144 = 1,846,782,144/x
  3. Step 3: Cross multiply
    850,789,962x = 1,846,782,144 × 1,846,782,144
  4. Step 4: Simplify right side
    850,789,962x = 3,410,604,287,397,236,736
  5. Step 5: Solve for x
    x = 3,410,604,287,397,236,736/850,789,962
  6. Step 6: Final answer
    x = 4,008,750,032.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.