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Finding the Third Proportional to 7,494,564 and 16,125,825

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Solution

The third proportional to 7,494,564 and 16,125,825 is: 34,697,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494,564 : 16,125,825 = 16,125,825 : x
  2. Step 2: Convert to fraction form
    7,494,564/16,125,825 = 16,125,825/x
  3. Step 3: Cross multiply
    7,494,564x = 16,125,825 × 16,125,825
  4. Step 4: Simplify right side
    7,494,564x = 260,042,231,930,625
  5. Step 5: Solve for x
    x = 260,042,231,930,625/7,494,564
  6. Step 6: Final answer
    x = 34,697,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.