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Finding the Third Proportional to 862,471,816 and 1,876,056,772

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Solution

The third proportional to 862,471,816 and 1,876,056,772 is: 4,080,816,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,471,816 : 1,876,056,772 = 1,876,056,772 : x
  2. Step 2: Convert to fraction form
    862,471,816/1,876,056,772 = 1,876,056,772/x
  3. Step 3: Cross multiply
    862,471,816x = 1,876,056,772 × 1,876,056,772
  4. Step 4: Simplify right side
    862,471,816x = 3,519,589,011,767,059,968
  5. Step 5: Solve for x
    x = 3,519,589,011,767,059,968/862,471,816
  6. Step 6: Final answer
    x = 4,080,816,261.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.