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Finding the Third Proportional to 4,984,421 and 7,468,311

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Solution

The third proportional to 4,984,421 and 7,468,311 is: 11,189,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984,421 : 7,468,311 = 7,468,311 : x
  2. Step 2: Convert to fraction form
    4,984,421/7,468,311 = 7,468,311/x
  3. Step 3: Cross multiply
    4,984,421x = 7,468,311 × 7,468,311
  4. Step 4: Simplify right side
    4,984,421x = 55,775,669,192,721
  5. Step 5: Solve for x
    x = 55,775,669,192,721/4,984,421
  6. Step 6: Final answer
    x = 11,189,999.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.