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Finding the Third Proportional to 26,839,946,812 and 40,027,167,366

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Solution

The third proportional to 26,839,946,812 and 40,027,167,366 is: 59,693,640,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,812 : 40,027,167,366 = 40,027,167,366 : x
  2. Step 2: Convert to fraction form
    26,839,946,812/40,027,167,366 = 40,027,167,366/x
  3. Step 3: Cross multiply
    26,839,946,812x = 40,027,167,366 × 40,027,167,366
  4. Step 4: Simplify right side
    26,839,946,812x = 1,602,174,127,345,775,411,200
  5. Step 5: Solve for x
    x = 1,602,174,127,345,775,411,200/26,839,946,812
  6. Step 6: Final answer
    x = 59,693,640,176.27

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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.