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Finding the Third Proportional to 9,836,640 and 20,163,168

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Solution

The third proportional to 9,836,640 and 20,163,168 is: 41,330,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836,640 : 20,163,168 = 20,163,168 : x
  2. Step 2: Convert to fraction form
    9,836,640/20,163,168 = 20,163,168/x
  3. Step 3: Cross multiply
    9,836,640x = 20,163,168 × 20,163,168
  4. Step 4: Simplify right side
    9,836,640x = 406,553,343,796,224
  5. Step 5: Solve for x
    x = 406,553,343,796,224/9,836,640
  6. Step 6: Final answer
    x = 41,330,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.