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Finding the Third Proportional to 81,295,979,511 and 176,100,834,966

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Solution

The third proportional to 81,295,979,511 and 176,100,834,966 is: 381,464,178,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,295,979,511 : 176,100,834,966 = 176,100,834,966 : x
  2. Step 2: Convert to fraction form
    81,295,979,511/176,100,834,966 = 176,100,834,966/x
  3. Step 3: Cross multiply
    81,295,979,511x = 176,100,834,966 × 176,100,834,966
  4. Step 4: Simplify right side
    81,295,979,511x = 31,011,504,075,722,366,910,464
  5. Step 5: Solve for x
    x = 31,011,504,075,722,366,910,464/81,295,979,511
  6. Step 6: Final answer
    x = 381,464,178,945.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.