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Finding the Third Proportional to 6,458,664 and 15,224,880

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Solution

The third proportional to 6,458,664 and 15,224,880 is: 35,889,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,664 : 15,224,880 = 15,224,880 : x
  2. Step 2: Convert to fraction form
    6,458,664/15,224,880 = 15,224,880/x
  3. Step 3: Cross multiply
    6,458,664x = 15,224,880 × 15,224,880
  4. Step 4: Simplify right side
    6,458,664x = 231,796,971,014,400
  5. Step 5: Solve for x
    x = 231,796,971,014,400/6,458,664
  6. Step 6: Final answer
    x = 35,889,306.37

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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.