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Finding the Third Proportional to 26,765,795,097 and 40,493,500,830

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Solution

The third proportional to 26,765,795,097 and 40,493,500,830 is: 61,261,905,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,765,795,097 : 40,493,500,830 = 40,493,500,830 : x
  2. Step 2: Convert to fraction form
    26,765,795,097/40,493,500,830 = 40,493,500,830/x
  3. Step 3: Cross multiply
    26,765,795,097x = 40,493,500,830 × 40,493,500,830
  4. Step 4: Simplify right side
    26,765,795,097x = 1,639,723,609,469,210,591,232
  5. Step 5: Solve for x
    x = 1,639,723,609,469,210,591,232/26,765,795,097
  6. Step 6: Final answer
    x = 61,261,905,485.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.