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Finding the Third Proportional to 19,200,800 and 27,008,304

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Solution

The third proportional to 19,200,800 and 27,008,304 is: 37,990,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200,800 : 27,008,304 = 27,008,304 : x
  2. Step 2: Convert to fraction form
    19,200,800/27,008,304 = 27,008,304/x
  3. Step 3: Cross multiply
    19,200,800x = 27,008,304 × 27,008,304
  4. Step 4: Simplify right side
    19,200,800x = 729,448,484,956,416
  5. Step 5: Solve for x
    x = 729,448,484,956,416/19,200,800
  6. Step 6: Final answer
    x = 37,990,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.