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Finding the Third Proportional to 11,994,784 and 17,542,304

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Solution

The third proportional to 11,994,784 and 17,542,304 is: 25,655,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994,784 : 17,542,304 = 17,542,304 : x
  2. Step 2: Convert to fraction form
    11,994,784/17,542,304 = 17,542,304/x
  3. Step 3: Cross multiply
    11,994,784x = 17,542,304 × 17,542,304
  4. Step 4: Simplify right side
    11,994,784x = 307,732,429,628,416
  5. Step 5: Solve for x
    x = 307,732,429,628,416/11,994,784
  6. Step 6: Final answer
    x = 25,655,520.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.