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Finding the Third Proportional to 10,505,590 and 23,004,084

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Solution

The third proportional to 10,505,590 and 23,004,084 is: 50,372,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,590 : 23,004,084 = 23,004,084 : x
  2. Step 2: Convert to fraction form
    10,505,590/23,004,084 = 23,004,084/x
  3. Step 3: Cross multiply
    10,505,590x = 23,004,084 × 23,004,084
  4. Step 4: Simplify right side
    10,505,590x = 529,187,880,679,056
  5. Step 5: Solve for x
    x = 529,187,880,679,056/10,505,590
  6. Step 6: Final answer
    x = 50,372,028.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.