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Finding the Third Proportional to 33,558,309 and 51,821,041.50

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Solution

The third proportional to 33,558,309 and 51,821,041.50 is: 80,022,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558,309 : 51,821,041.50 = 51,821,041.50 : x
  2. Step 2: Convert to fraction form
    33,558,309/51,821,041.50 = 51,821,041.50/x
  3. Step 3: Cross multiply
    33,558,309x = 51,821,041.50 × 51,821,041.50
  4. Step 4: Simplify right side
    33,558,309x = 2,685,420,342,144,722
  5. Step 5: Solve for x
    x = 2,685,420,342,144,722/33,558,309
  6. Step 6: Final answer
    x = 80,022,516.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.