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Finding the Third Proportional to 624,346,373,558 and 993,457,816,924

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Solution

The third proportional to 624,346,373,558 and 993,457,816,924 is: 1,580,786,684,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,558 : 993,457,816,924 = 993,457,816,924 : x
  2. Step 2: Convert to fraction form
    624,346,373,558/993,457,816,924 = 993,457,816,924/x
  3. Step 3: Cross multiply
    624,346,373,558x = 993,457,816,924 × 993,457,816,924
  4. Step 4: Simplify right side
    624,346,373,558x = 986,958,434,007,399,876,526,080
  5. Step 5: Solve for x
    x = 986,958,434,007,399,876,526,080/624,346,373,558
  6. Step 6: Final answer
    x = 1,580,786,684,773.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.