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Finding the Third Proportional to 4,044,800 and 8,738,304

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Solution

The third proportional to 4,044,800 and 8,738,304 is: 18,878,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044,800 : 8,738,304 = 8,738,304 : x
  2. Step 2: Convert to fraction form
    4,044,800/8,738,304 = 8,738,304/x
  3. Step 3: Cross multiply
    4,044,800x = 8,738,304 × 8,738,304
  4. Step 4: Simplify right side
    4,044,800x = 76,357,956,796,416
  5. Step 5: Solve for x
    x = 76,357,956,796,416/4,044,800
  6. Step 6: Final answer
    x = 18,878,054.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.