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Finding the Third Proportional to 362,350,324,408.50 and 788,318,550,313.50

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Solution

The third proportional to 362,350,324,408.50 and 788,318,550,313.50 is: 1,715,042,308,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,350,324,408.50 : 788,318,550,313.50 = 788,318,550,313.50 : x
  2. Step 2: Convert to fraction form
    362,350,324,408.50/788,318,550,313.50 = 788,318,550,313.50/x
  3. Step 3: Cross multiply
    362,350,324,408.50x = 788,318,550,313.50 × 788,318,550,313.50
  4. Step 4: Simplify right side
    362,350,324,408.50x = 621,446,136,768,378,175,488,000
  5. Step 5: Solve for x
    x = 621,446,136,768,378,175,488,000/362,350,324,408.50
  6. Step 6: Final answer
    x = 1,715,042,308,249.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.