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Finding the Third Proportional to 6,388,286 and 13,932,682

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Solution

The third proportional to 6,388,286 and 13,932,682 is: 30,386,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388,286 : 13,932,682 = 13,932,682 : x
  2. Step 2: Convert to fraction form
    6,388,286/13,932,682 = 13,932,682/x
  3. Step 3: Cross multiply
    6,388,286x = 13,932,682 × 13,932,682
  4. Step 4: Simplify right side
    6,388,286x = 194,119,627,713,124
  5. Step 5: Solve for x
    x = 194,119,627,713,124/6,388,286
  6. Step 6: Final answer
    x = 30,386,809.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.