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Finding the Third Proportional to 7,903,131,292 and 17,183,705,168

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Solution

The third proportional to 7,903,131,292 and 17,183,705,168 is: 37,362,370,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903,131,292 : 17,183,705,168 = 17,183,705,168 : x
  2. Step 2: Convert to fraction form
    7,903,131,292/17,183,705,168 = 17,183,705,168/x
  3. Step 3: Cross multiply
    7,903,131,292x = 17,183,705,168 × 17,183,705,168
  4. Step 4: Simplify right side
    7,903,131,292x = 295,279,723,300,749,901,824
  5. Step 5: Solve for x
    x = 295,279,723,300,749,901,824/7,903,131,292
  6. Step 6: Final answer
    x = 37,362,370,988.28

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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.