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Finding the Third Proportional to 13,986,041 and 21,600,169

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Solution

The third proportional to 13,986,041 and 21,600,169 is: 33,359,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986,041 : 21,600,169 = 21,600,169 : x
  2. Step 2: Convert to fraction form
    13,986,041/21,600,169 = 21,600,169/x
  3. Step 3: Cross multiply
    13,986,041x = 21,600,169 × 21,600,169
  4. Step 4: Simplify right side
    13,986,041x = 466,567,300,828,561
  5. Step 5: Solve for x
    x = 466,567,300,828,561/13,986,041
  6. Step 6: Final answer
    x = 33,359,497.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.