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Finding the Third Proportional to 327,422,689,493 and 712,500,458,384.50

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Solution

The third proportional to 327,422,689,493 and 712,500,458,384.50 is: 1,550,463,420,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422,689,493 : 712,500,458,384.50 = 712,500,458,384.50 : x
  2. Step 2: Convert to fraction form
    327,422,689,493/712,500,458,384.50 = 712,500,458,384.50/x
  3. Step 3: Cross multiply
    327,422,689,493x = 712,500,458,384.50 × 712,500,458,384.50
  4. Step 4: Simplify right side
    327,422,689,493x = 507,656,903,198,122,625,204,224
  5. Step 5: Solve for x
    x = 507,656,903,198,122,625,204,224/327,422,689,493
  6. Step 6: Final answer
    x = 1,550,463,420,797.77

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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.