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Finding the Third Proportional to 26,839,947,402 and 40,027,168,008

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Solution

The third proportional to 26,839,947,402 and 40,027,168,008 is: 59,693,640,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,947,402 : 40,027,168,008 = 40,027,168,008 : x
  2. Step 2: Convert to fraction form
    26,839,947,402/40,027,168,008 = 40,027,168,008/x
  3. Step 3: Cross multiply
    26,839,947,402x = 40,027,168,008 × 40,027,168,008
  4. Step 4: Simplify right side
    26,839,947,402x = 1,602,174,178,740,658,765,824
  5. Step 5: Solve for x
    x = 1,602,174,178,740,658,765,824/26,839,947,402
  6. Step 6: Final answer
    x = 59,693,640,778.94

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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.