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Finding the Third Proportional to 2,361,892,144 and 5,074,296,694

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Solution

The third proportional to 2,361,892,144 and 5,074,296,694 is: 10,901,635,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,892,144 : 5,074,296,694 = 5,074,296,694 : x
  2. Step 2: Convert to fraction form
    2,361,892,144/5,074,296,694 = 5,074,296,694/x
  3. Step 3: Cross multiply
    2,361,892,144x = 5,074,296,694 × 5,074,296,694
  4. Step 4: Simplify right side
    2,361,892,144x = 25,748,486,938,739,331,072
  5. Step 5: Solve for x
    x = 25,748,486,938,739,331,072/2,361,892,144
  6. Step 6: Final answer
    x = 10,901,635,370.67

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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.