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Finding the Third Proportional to 379,295,673 and 827,507,724

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Solution

The third proportional to 379,295,673 and 827,507,724 is: 1,805,370,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,295,673 : 827,507,724 = 827,507,724 : x
  2. Step 2: Convert to fraction form
    379,295,673/827,507,724 = 827,507,724/x
  3. Step 3: Cross multiply
    379,295,673x = 827,507,724 × 827,507,724
  4. Step 4: Simplify right side
    379,295,673x = 684,769,033,279,660,160
  5. Step 5: Solve for x
    x = 684,769,033,279,660,160/379,295,673
  6. Step 6: Final answer
    x = 1,805,370,010.85

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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.