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Finding the Third Proportional to 2,203,969,502.25 and 4,795,343,698.50

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Solution

The third proportional to 2,203,969,502.25 and 4,795,343,698.50 is: 10,433,593,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,969,502.25 : 4,795,343,698.50 = 4,795,343,698.50 : x
  2. Step 2: Convert to fraction form
    2,203,969,502.25/4,795,343,698.50 = 4,795,343,698.50/x
  3. Step 3: Cross multiply
    2,203,969,502.25x = 4,795,343,698.50 × 4,795,343,698.50
  4. Step 4: Simplify right side
    2,203,969,502.25x = 22,995,321,186,743,660,544
  5. Step 5: Solve for x
    x = 22,995,321,186,743,660,544/2,203,969,502.25
  6. Step 6: Final answer
    x = 10,433,593,188.68

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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.