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Finding the Third Proportional to 39,833,185.22 and 85,719,826.97

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Solution

The third proportional to 39,833,185.22 and 85,719,826.97 is: 184,466,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,833,185.22 : 85,719,826.97 = 85,719,826.97 : x
  2. Step 2: Convert to fraction form
    39,833,185.22/85,719,826.97 = 85,719,826.97/x
  3. Step 3: Cross multiply
    39,833,185.22x = 85,719,826.97 × 85,719,826.97
  4. Step 4: Simplify right side
    39,833,185.22x = 7,347,888,735,552,440
  5. Step 5: Solve for x
    x = 7,347,888,735,552,440/39,833,185.22
  6. Step 6: Final answer
    x = 184,466,511.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.