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Finding the Third Proportional to 6,448,961 and 15,202,211

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Solution

The third proportional to 6,448,961 and 15,202,211 is: 35,836,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448,961 : 15,202,211 = 15,202,211 : x
  2. Step 2: Convert to fraction form
    6,448,961/15,202,211 = 15,202,211/x
  3. Step 3: Cross multiply
    6,448,961x = 15,202,211 × 15,202,211
  4. Step 4: Simplify right side
    6,448,961x = 231,107,219,288,521
  5. Step 5: Solve for x
    x = 231,107,219,288,521/6,448,961
  6. Step 6: Final answer
    x = 35,836,349.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.