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Finding the Third Proportional to 9,220,830 and 13,861,008

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Solution

The third proportional to 9,220,830 and 13,861,008 is: 20,836,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,830 : 13,861,008 = 13,861,008 : x
  2. Step 2: Convert to fraction form
    9,220,830/13,861,008 = 13,861,008/x
  3. Step 3: Cross multiply
    9,220,830x = 13,861,008 × 13,861,008
  4. Step 4: Simplify right side
    9,220,830x = 192,127,542,776,064
  5. Step 5: Solve for x
    x = 192,127,542,776,064/9,220,830
  6. Step 6: Final answer
    x = 20,836,252.57

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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.