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Finding the Third Proportional to 4,256,550,225 and 9,945,222,003

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Solution

The third proportional to 4,256,550,225 and 9,945,222,003 is: 23,236,526,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,550,225 : 9,945,222,003 = 9,945,222,003 : x
  2. Step 2: Convert to fraction form
    4,256,550,225/9,945,222,003 = 9,945,222,003/x
  3. Step 3: Cross multiply
    4,256,550,225x = 9,945,222,003 × 9,945,222,003
  4. Step 4: Simplify right side
    4,256,550,225x = 98,907,440,688,955,326,464
  5. Step 5: Solve for x
    x = 98,907,440,688,955,326,464/4,256,550,225
  6. Step 6: Final answer
    x = 23,236,526,168.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.