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Finding the Third Proportional to 6,973,561 and 16,284,449

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Solution

The third proportional to 6,973,561 and 16,284,449 is: 38,026,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973,561 : 16,284,449 = 16,284,449 : x
  2. Step 2: Convert to fraction form
    6,973,561/16,284,449 = 16,284,449/x
  3. Step 3: Cross multiply
    6,973,561x = 16,284,449 × 16,284,449
  4. Step 4: Simplify right side
    6,973,561x = 265,183,279,233,601
  5. Step 5: Solve for x
    x = 265,183,279,233,601/6,973,561
  6. Step 6: Final answer
    x = 38,026,953.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.