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Finding the Third Proportional to 6,046,884 and 9,166,302

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Solution

The third proportional to 6,046,884 and 9,166,302 is: 13,894,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,884 : 9,166,302 = 9,166,302 : x
  2. Step 2: Convert to fraction form
    6,046,884/9,166,302 = 9,166,302/x
  3. Step 3: Cross multiply
    6,046,884x = 9,166,302 × 9,166,302
  4. Step 4: Simplify right side
    6,046,884x = 84,021,092,355,204
  5. Step 5: Solve for x
    x = 84,021,092,355,204/6,046,884
  6. Step 6: Final answer
    x = 13,894,940.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.