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Finding the Third Proportional to 38,252,920.50 and 82,550,890.50

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Solution

The third proportional to 38,252,920.50 and 82,550,890.50 is: 178,147,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252,920.50 : 82,550,890.50 = 82,550,890.50 : x
  2. Step 2: Convert to fraction form
    38,252,920.50/82,550,890.50 = 82,550,890.50/x
  3. Step 3: Cross multiply
    38,252,920.50x = 82,550,890.50 × 82,550,890.50
  4. Step 4: Simplify right side
    38,252,920.50x = 6,814,649,522,342,990
  5. Step 5: Solve for x
    x = 6,814,649,522,342,990/38,252,920.50
  6. Step 6: Final answer
    x = 178,147,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.