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Finding the Third Proportional to 379,295,906 and 827,508,150

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Solution

The third proportional to 379,295,906 and 827,508,150 is: 1,805,370,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,295,906 : 827,508,150 = 827,508,150 : x
  2. Step 2: Convert to fraction form
    379,295,906/827,508,150 = 827,508,150/x
  3. Step 3: Cross multiply
    379,295,906x = 827,508,150 × 827,508,150
  4. Step 4: Simplify right side
    379,295,906x = 684,769,738,316,422,528
  5. Step 5: Solve for x
    x = 684,769,738,316,422,528/379,295,906
  6. Step 6: Final answer
    x = 1,805,370,760.62

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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.