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Finding the Third Proportional to 30,303,082 and 45,489,615

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Solution

The third proportional to 30,303,082 and 45,489,615 is: 68,286,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303,082 : 45,489,615 = 45,489,615 : x
  2. Step 2: Convert to fraction form
    30,303,082/45,489,615 = 45,489,615/x
  3. Step 3: Cross multiply
    30,303,082x = 45,489,615 × 45,489,615
  4. Step 4: Simplify right side
    30,303,082x = 2,069,305,072,848,225
  5. Step 5: Solve for x
    x = 2,069,305,072,848,225/30,303,082
  6. Step 6: Final answer
    x = 68,286,950.91

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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.