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Finding the Third Proportional to 624,346,373,551.50 and 993,457,816,914

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Solution

The third proportional to 624,346,373,551.50 and 993,457,816,914 is: 1,580,786,684,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,551.50 : 993,457,816,914 = 993,457,816,914 : x
  2. Step 2: Convert to fraction form
    624,346,373,551.50/993,457,816,914 = 993,457,816,914/x
  3. Step 3: Cross multiply
    624,346,373,551.50x = 993,457,816,914 × 993,457,816,914
  4. Step 4: Simplify right side
    624,346,373,551.50x = 986,958,433,987,530,686,726,144
  5. Step 5: Solve for x
    x = 986,958,433,987,530,686,726,144/624,346,373,551.50
  6. Step 6: Final answer
    x = 1,580,786,684,758.60

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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.