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Finding the Third Proportional to 518,081,296.50 and 845,890,571.25

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Solution

The third proportional to 518,081,296.50 and 845,890,571.25 is: 1,381,116,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,081,296.50 : 845,890,571.25 = 845,890,571.25 : x
  2. Step 2: Convert to fraction form
    518,081,296.50/845,890,571.25 = 845,890,571.25/x
  3. Step 3: Cross multiply
    518,081,296.50x = 845,890,571.25 × 845,890,571.25
  4. Step 4: Simplify right side
    518,081,296.50x = 715,530,858,529,651,328
  5. Step 5: Solve for x
    x = 715,530,858,529,651,328/518,081,296.50
  6. Step 6: Final answer
    x = 1,381,116,947.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.