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Finding the Third Proportional to 26,839,946,618 and 40,027,166,991

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Solution

The third proportional to 26,839,946,618 and 40,027,166,991 is: 59,693,639,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,618 : 40,027,166,991 = 40,027,166,991 : x
  2. Step 2: Convert to fraction form
    26,839,946,618/40,027,166,991 = 40,027,166,991/x
  3. Step 3: Cross multiply
    26,839,946,618x = 40,027,166,991 × 40,027,166,991
  4. Step 4: Simplify right side
    26,839,946,618x = 1,602,174,097,325,399,998,464
  5. Step 5: Solve for x
    x = 1,602,174,097,325,399,998,464/26,839,946,618
  6. Step 6: Final answer
    x = 59,693,639,489.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.