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Finding the Third Proportional to 15,140,265 and 33,211,734.75

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Solution

The third proportional to 15,140,265 and 33,211,734.75 is: 72,853,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140,265 : 33,211,734.75 = 33,211,734.75 : x
  2. Step 2: Convert to fraction form
    15,140,265/33,211,734.75 = 33,211,734.75/x
  3. Step 3: Cross multiply
    15,140,265x = 33,211,734.75 × 33,211,734.75
  4. Step 4: Simplify right side
    15,140,265x = 1,103,019,325,104,357.50
  5. Step 5: Solve for x
    x = 1,103,019,325,104,357.50/15,140,265
  6. Step 6: Final answer
    x = 72,853,369.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.