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Finding the Third Proportional to 4,369,424 and 8,948,800

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Solution

The third proportional to 4,369,424 and 8,948,800 is: 18,327,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369,424 : 8,948,800 = 8,948,800 : x
  2. Step 2: Convert to fraction form
    4,369,424/8,948,800 = 8,948,800/x
  3. Step 3: Cross multiply
    4,369,424x = 8,948,800 × 8,948,800
  4. Step 4: Simplify right side
    4,369,424x = 80,081,021,440,000
  5. Step 5: Solve for x
    x = 80,081,021,440,000/4,369,424
  6. Step 6: Final answer
    x = 18,327,592.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.