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Finding the Third Proportional to 303,536,912,082 and 674,940,345,484.50

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Solution

The third proportional to 303,536,912,082 and 674,940,345,484.50 is: 1,500,787,719,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,536,912,082 : 674,940,345,484.50 = 674,940,345,484.50 : x
  2. Step 2: Convert to fraction form
    303,536,912,082/674,940,345,484.50 = 674,940,345,484.50/x
  3. Step 3: Cross multiply
    303,536,912,082x = 674,940,345,484.50 × 674,940,345,484.50
  4. Step 4: Simplify right side
    303,536,912,082x = 455,544,469,962,736,204,251,136
  5. Step 5: Solve for x
    x = 455,544,469,962,736,204,251,136/303,536,912,082
  6. Step 6: Final answer
    x = 1,500,787,719,154.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.