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Finding the Third Proportional to 731,405,224 and 1,562,004,112

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Solution

The third proportional to 731,405,224 and 1,562,004,112 is: 3,335,848,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,405,224 : 1,562,004,112 = 1,562,004,112 : x
  2. Step 2: Convert to fraction form
    731,405,224/1,562,004,112 = 1,562,004,112/x
  3. Step 3: Cross multiply
    731,405,224x = 1,562,004,112 × 1,562,004,112
  4. Step 4: Simplify right side
    731,405,224x = 2,439,856,845,904,908,288
  5. Step 5: Solve for x
    x = 2,439,856,845,904,908,288/731,405,224
  6. Step 6: Final answer
    x = 3,335,848,262.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.