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Finding the Third Proportional to 26,839,946,702 and 40,027,167,093

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Solution

The third proportional to 26,839,946,702 and 40,027,167,093 is: 59,693,639,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,702 : 40,027,167,093 = 40,027,167,093 : x
  2. Step 2: Convert to fraction form
    26,839,946,702/40,027,167,093 = 40,027,167,093/x
  3. Step 3: Cross multiply
    26,839,946,702x = 40,027,167,093 × 40,027,167,093
  4. Step 4: Simplify right side
    26,839,946,702x = 1,602,174,105,490,942,066,688
  5. Step 5: Solve for x
    x = 1,602,174,105,490,942,066,688/26,839,946,702
  6. Step 6: Final answer
    x = 59,693,639,606.65

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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.