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Finding the Third Proportional to 23,151,784 and 50,289,208

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Solution

The third proportional to 23,151,784 and 50,289,208 is: 109,235,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151,784 : 50,289,208 = 50,289,208 : x
  2. Step 2: Convert to fraction form
    23,151,784/50,289,208 = 50,289,208/x
  3. Step 3: Cross multiply
    23,151,784x = 50,289,208 × 50,289,208
  4. Step 4: Simplify right side
    23,151,784x = 2,529,004,441,267,264
  5. Step 5: Solve for x
    x = 2,529,004,441,267,264/23,151,784
  6. Step 6: Final answer
    x = 109,235,834.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.