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Finding the Third Proportional to 38,367,616 and 80,282,624

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Solution

The third proportional to 38,367,616 and 80,282,624 is: 167,988,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367,616 : 80,282,624 = 80,282,624 : x
  2. Step 2: Convert to fraction form
    38,367,616/80,282,624 = 80,282,624/x
  3. Step 3: Cross multiply
    38,367,616x = 80,282,624 × 80,282,624
  4. Step 4: Simplify right side
    38,367,616x = 6,445,299,716,325,376
  5. Step 5: Solve for x
    x = 6,445,299,716,325,376/38,367,616
  6. Step 6: Final answer
    x = 167,988,016.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.