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Finding the Third Proportional to 11,963,818,969 and 26,179,163,204

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Solution

The third proportional to 11,963,818,969 and 26,179,163,204 is: 57,285,101,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963,818,969 : 26,179,163,204 = 26,179,163,204 : x
  2. Step 2: Convert to fraction form
    11,963,818,969/26,179,163,204 = 26,179,163,204/x
  3. Step 3: Cross multiply
    11,963,818,969x = 26,179,163,204 × 26,179,163,204
  4. Step 4: Simplify right side
    11,963,818,969x = 685,348,586,061,667,500,032
  5. Step 5: Solve for x
    x = 685,348,586,061,667,500,032/11,963,818,969
  6. Step 6: Final answer
    x = 57,285,101,675.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.