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Finding the Third Proportional to 3,692,827.13 and 5,933,317.50

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Solution

The third proportional to 3,692,827.13 and 5,933,317.50 is: 9,533,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692,827.13 : 5,933,317.50 = 5,933,317.50 : x
  2. Step 2: Convert to fraction form
    3,692,827.13/5,933,317.50 = 5,933,317.50/x
  3. Step 3: Cross multiply
    3,692,827.13x = 5,933,317.50 × 5,933,317.50
  4. Step 4: Simplify right side
    3,692,827.13x = 35,204,256,555,806.25
  5. Step 5: Solve for x
    x = 35,204,256,555,806.25/3,692,827.13
  6. Step 6: Final answer
    x = 9,533,145.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.