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Finding the Third Proportional to 7,379,930 and 16,212,748

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Solution

The third proportional to 7,379,930 and 16,212,748 is: 35,617,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379,930 : 16,212,748 = 16,212,748 : x
  2. Step 2: Convert to fraction form
    7,379,930/16,212,748 = 16,212,748/x
  3. Step 3: Cross multiply
    7,379,930x = 16,212,748 × 16,212,748
  4. Step 4: Simplify right side
    7,379,930x = 262,853,197,711,504
  5. Step 5: Solve for x
    x = 262,853,197,711,504/7,379,930
  6. Step 6: Final answer
    x = 35,617,302.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.