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Finding the Third Proportional to 13,450,256 and 21,412,458

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Solution

The third proportional to 13,450,256 and 21,412,458 is: 34,088,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,256 : 21,412,458 = 21,412,458 : x
  2. Step 2: Convert to fraction form
    13,450,256/21,412,458 = 21,412,458/x
  3. Step 3: Cross multiply
    13,450,256x = 21,412,458 × 21,412,458
  4. Step 4: Simplify right side
    13,450,256x = 458,493,357,601,764
  5. Step 5: Solve for x
    x = 458,493,357,601,764/13,450,256
  6. Step 6: Final answer
    x = 34,088,076.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.