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Finding the Third Proportional to 14,449,648 and 19,814,412

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Solution

The third proportional to 14,449,648 and 19,814,412 is: 27,170,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449,648 : 19,814,412 = 19,814,412 : x
  2. Step 2: Convert to fraction form
    14,449,648/19,814,412 = 19,814,412/x
  3. Step 3: Cross multiply
    14,449,648x = 19,814,412 × 19,814,412
  4. Step 4: Simplify right side
    14,449,648x = 392,610,922,905,744
  5. Step 5: Solve for x
    x = 392,610,922,905,744/14,449,648
  6. Step 6: Final answer
    x = 27,170,967.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.