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Finding the Third Proportional to 4,772,211 and 7,178,082

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Solution

The third proportional to 4,772,211 and 7,178,082 is: 10,796,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772,211 : 7,178,082 = 7,178,082 : x
  2. Step 2: Convert to fraction form
    4,772,211/7,178,082 = 7,178,082/x
  3. Step 3: Cross multiply
    4,772,211x = 7,178,082 × 7,178,082
  4. Step 4: Simplify right side
    4,772,211x = 51,524,861,198,724
  5. Step 5: Solve for x
    x = 51,524,861,198,724/4,772,211
  6. Step 6: Final answer
    x = 10,796,853.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.