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Finding the Third Proportional to 763,303,211.44 and 1,661,768,343.56

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Solution

The third proportional to 763,303,211.44 and 1,661,768,343.56 is: 3,617,794,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,303,211.44 : 1,661,768,343.56 = 1,661,768,343.56 : x
  2. Step 2: Convert to fraction form
    763,303,211.44/1,661,768,343.56 = 1,661,768,343.56/x
  3. Step 3: Cross multiply
    763,303,211.44x = 1,661,768,343.56 × 1,661,768,343.56
  4. Step 4: Simplify right side
    763,303,211.44x = 2,761,474,027,666,455,040
  5. Step 5: Solve for x
    x = 2,761,474,027,666,455,040/763,303,211.44
  6. Step 6: Final answer
    x = 3,617,794,326.41

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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.