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Finding the Third Proportional to 2,382,801,889 and 5,194,642,176

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Solution

The third proportional to 2,382,801,889 and 5,194,642,176 is: 11,324,612,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,801,889 : 5,194,642,176 = 5,194,642,176 : x
  2. Step 2: Convert to fraction form
    2,382,801,889/5,194,642,176 = 5,194,642,176/x
  3. Step 3: Cross multiply
    2,382,801,889x = 5,194,642,176 × 5,194,642,176
  4. Step 4: Simplify right side
    2,382,801,889x = 26,984,307,336,678,014,976
  5. Step 5: Solve for x
    x = 26,984,307,336,678,014,976/2,382,801,889
  6. Step 6: Final answer
    x = 11,324,612,197.62

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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.