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Finding the Third Proportional to 26,839,946,585 and 40,027,166,941

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Solution

The third proportional to 26,839,946,585 and 40,027,166,941 is: 59,693,639,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,585 : 40,027,166,941 = 40,027,166,941 : x
  2. Step 2: Convert to fraction form
    26,839,946,585/40,027,166,941 = 40,027,166,941/x
  3. Step 3: Cross multiply
    26,839,946,585x = 40,027,166,941 × 40,027,166,941
  4. Step 4: Simplify right side
    26,839,946,585x = 1,602,174,093,322,683,416,576
  5. Step 5: Solve for x
    x = 1,602,174,093,322,683,416,576/26,839,946,585
  6. Step 6: Final answer
    x = 59,693,639,413.50

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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.