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Finding the Third Proportional to 862,471,818 and 1,876,056,776

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Solution

The third proportional to 862,471,818 and 1,876,056,776 is: 4,080,816,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,471,818 : 1,876,056,776 = 1,876,056,776 : x
  2. Step 2: Convert to fraction form
    862,471,818/1,876,056,776 = 1,876,056,776/x
  3. Step 3: Cross multiply
    862,471,818x = 1,876,056,776 × 1,876,056,776
  4. Step 4: Simplify right side
    862,471,818x = 3,519,589,026,775,514,112
  5. Step 5: Solve for x
    x = 3,519,589,026,775,514,112/862,471,818
  6. Step 6: Final answer
    x = 4,080,816,269.38

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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.