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Finding the Third Proportional to 334,384,864 and 724,571,064

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Solution

The third proportional to 334,384,864 and 724,571,064 is: 1,570,056,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,384,864 : 724,571,064 = 724,571,064 : x
  2. Step 2: Convert to fraction form
    334,384,864/724,571,064 = 724,571,064/x
  3. Step 3: Cross multiply
    334,384,864x = 724,571,064 × 724,571,064
  4. Step 4: Simplify right side
    334,384,864x = 525,003,226,786,092,096
  5. Step 5: Solve for x
    x = 525,003,226,786,092,096/334,384,864
  6. Step 6: Final answer
    x = 1,570,056,791.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.