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Finding the Third Proportional to 904,235,046 and 1,947,022,573.50

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Solution

The third proportional to 904,235,046 and 1,947,022,573.50 is: 4,192,379,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,235,046 : 1,947,022,573.50 = 1,947,022,573.50 : x
  2. Step 2: Convert to fraction form
    904,235,046/1,947,022,573.50 = 1,947,022,573.50/x
  3. Step 3: Cross multiply
    904,235,046x = 1,947,022,573.50 × 1,947,022,573.50
  4. Step 4: Simplify right side
    904,235,046x = 3,790,896,901,718,562,816
  5. Step 5: Solve for x
    x = 3,790,896,901,718,562,816/904,235,046
  6. Step 6: Final answer
    x = 4,192,379,977.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.