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Finding the Third Proportional to 9,509,668 and 18,542,840

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Solution

The third proportional to 9,509,668 and 18,542,840 is: 36,156,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509,668 : 18,542,840 = 18,542,840 : x
  2. Step 2: Convert to fraction form
    9,509,668/18,542,840 = 18,542,840/x
  3. Step 3: Cross multiply
    9,509,668x = 18,542,840 × 18,542,840
  4. Step 4: Simplify right side
    9,509,668x = 343,836,915,265,600
  5. Step 5: Solve for x
    x = 343,836,915,265,600/9,509,668
  6. Step 6: Final answer
    x = 36,156,563.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.