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Finding the Third Proportional to 7,284,731,064 and 15,674,325,744

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Solution

The third proportional to 7,284,731,064 and 15,674,325,744 is: 33,725,951,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,731,064 : 15,674,325,744 = 15,674,325,744 : x
  2. Step 2: Convert to fraction form
    7,284,731,064/15,674,325,744 = 15,674,325,744/x
  3. Step 3: Cross multiply
    7,284,731,064x = 15,674,325,744 × 15,674,325,744
  4. Step 4: Simplify right side
    7,284,731,064x = 245,684,487,529,021,145,088
  5. Step 5: Solve for x
    x = 245,684,487,529,021,145,088/7,284,731,064
  6. Step 6: Final answer
    x = 33,725,951,633.71

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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.