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Finding the Third Proportional to 30,322,094.50 and 49,508,006.25

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Solution

The third proportional to 30,322,094.50 and 49,508,006.25 is: 80,833,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322,094.50 : 49,508,006.25 = 49,508,006.25 : x
  2. Step 2: Convert to fraction form
    30,322,094.50/49,508,006.25 = 49,508,006.25/x
  3. Step 3: Cross multiply
    30,322,094.50x = 49,508,006.25 × 49,508,006.25
  4. Step 4: Simplify right side
    30,322,094.50x = 2,451,042,682,850,039
  5. Step 5: Solve for x
    x = 2,451,042,682,850,039/30,322,094.50
  6. Step 6: Final answer
    x = 80,833,554.65

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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.