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Finding the Third Proportional to 7,629,835,797 and 10,305,344,097

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Solution

The third proportional to 7,629,835,797 and 10,305,344,097 is: 13,919,056,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,835,797 : 10,305,344,097 = 10,305,344,097 : x
  2. Step 2: Convert to fraction form
    7,629,835,797/10,305,344,097 = 10,305,344,097/x
  3. Step 3: Cross multiply
    7,629,835,797x = 10,305,344,097 × 10,305,344,097
  4. Step 4: Simplify right side
    7,629,835,797x = 106,200,116,957,572,743,168
  5. Step 5: Solve for x
    x = 106,200,116,957,572,743,168/7,629,835,797
  6. Step 6: Final answer
    x = 13,919,056,685.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.