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Finding the Third Proportional to 5,025,839,906 and 11,048,662,966

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Solution

The third proportional to 5,025,839,906 and 11,048,662,966 is: 24,289,065,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025,839,906 : 11,048,662,966 = 11,048,662,966 : x
  2. Step 2: Convert to fraction form
    5,025,839,906/11,048,662,966 = 11,048,662,966/x
  3. Step 3: Cross multiply
    5,025,839,906x = 11,048,662,966 × 11,048,662,966
  4. Step 4: Simplify right side
    5,025,839,906x = 122,072,953,336,259,919,872
  5. Step 5: Solve for x
    x = 122,072,953,336,259,919,872/5,025,839,906
  6. Step 6: Final answer
    x = 24,289,065,234.75

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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.