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Finding the Third Proportional to 20,410,097,232 and 31,947,376,626

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Solution

The third proportional to 20,410,097,232 and 31,947,376,626 is: 50,006,369,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410,097,232 : 31,947,376,626 = 31,947,376,626 : x
  2. Step 2: Convert to fraction form
    20,410,097,232/31,947,376,626 = 31,947,376,626/x
  3. Step 3: Cross multiply
    20,410,097,232x = 31,947,376,626 × 31,947,376,626
  4. Step 4: Simplify right side
    20,410,097,232x = 1,020,634,873,283,491,135,488
  5. Step 5: Solve for x
    x = 1,020,634,873,283,491,135,488/20,410,097,232
  6. Step 6: Final answer
    x = 50,006,369,968.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.