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Finding the Third Proportional to 379,295,901 and 827,508,141

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Solution

The third proportional to 379,295,901 and 827,508,141 is: 1,805,370,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,295,901 : 827,508,141 = 827,508,141 : x
  2. Step 2: Convert to fraction form
    379,295,901/827,508,141 = 827,508,141/x
  3. Step 3: Cross multiply
    379,295,901x = 827,508,141 × 827,508,141
  4. Step 4: Simplify right side
    379,295,901x = 684,769,723,421,275,904
  5. Step 5: Solve for x
    x = 684,769,723,421,275,904/379,295,901
  6. Step 6: Final answer
    x = 1,805,370,745.15

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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.