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Finding the Third Proportional to 7,284,731,059 and 15,674,325,733

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Solution

The third proportional to 7,284,731,059 and 15,674,325,733 is: 33,725,951,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,731,059 : 15,674,325,733 = 15,674,325,733 : x
  2. Step 2: Convert to fraction form
    7,284,731,059/15,674,325,733 = 15,674,325,733/x
  3. Step 3: Cross multiply
    7,284,731,059x = 15,674,325,733 × 15,674,325,733
  4. Step 4: Simplify right side
    7,284,731,059x = 245,684,487,184,185,982,976
  5. Step 5: Solve for x
    x = 245,684,487,184,185,982,976/7,284,731,059
  6. Step 6: Final answer
    x = 33,725,951,609.52

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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.