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Finding the Third Proportional to 7,797,880 and 17,388,742

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Solution

The third proportional to 7,797,880 and 17,388,742 is: 38,775,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,880 : 17,388,742 = 17,388,742 : x
  2. Step 2: Convert to fraction form
    7,797,880/17,388,742 = 17,388,742/x
  3. Step 3: Cross multiply
    7,797,880x = 17,388,742 × 17,388,742
  4. Step 4: Simplify right side
    7,797,880x = 302,368,348,342,564
  5. Step 5: Solve for x
    x = 302,368,348,342,564/7,797,880
  6. Step 6: Final answer
    x = 38,775,711.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.