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Finding the Third Proportional to 416,309,283,529.50 and 561,698,970,628.50

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Solution

The third proportional to 416,309,283,529.50 and 561,698,970,628.50 is: 757,863,795,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309,283,529.50 : 561,698,970,628.50 = 561,698,970,628.50 : x
  2. Step 2: Convert to fraction form
    416,309,283,529.50/561,698,970,628.50 = 561,698,970,628.50/x
  3. Step 3: Cross multiply
    416,309,283,529.50x = 561,698,970,628.50 × 561,698,970,628.50
  4. Step 4: Simplify right side
    416,309,283,529.50x = 315,505,733,605,116,474,294,272
  5. Step 5: Solve for x
    x = 315,505,733,605,116,474,294,272/416,309,283,529.50
  6. Step 6: Final answer
    x = 757,863,795,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.