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Finding the Third Proportional to 817,870,794 and 1,760,453,072

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Solution

The third proportional to 817,870,794 and 1,760,453,072 is: 3,789,345,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,870,794 : 1,760,453,072 = 1,760,453,072 : x
  2. Step 2: Convert to fraction form
    817,870,794/1,760,453,072 = 1,760,453,072/x
  3. Step 3: Cross multiply
    817,870,794x = 1,760,453,072 × 1,760,453,072
  4. Step 4: Simplify right side
    817,870,794x = 3,099,195,018,714,236,928
  5. Step 5: Solve for x
    x = 3,099,195,018,714,236,928/817,870,794
  6. Step 6: Final answer
    x = 3,789,345,507.20

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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.