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Finding the Third Proportional to 9,194,635 and 19,510,043

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Solution

The third proportional to 9,194,635 and 19,510,043 is: 41,398,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194,635 : 19,510,043 = 19,510,043 : x
  2. Step 2: Convert to fraction form
    9,194,635/19,510,043 = 19,510,043/x
  3. Step 3: Cross multiply
    9,194,635x = 19,510,043 × 19,510,043
  4. Step 4: Simplify right side
    9,194,635x = 380,641,777,861,849
  5. Step 5: Solve for x
    x = 380,641,777,861,849/9,194,635
  6. Step 6: Final answer
    x = 41,398,247.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.