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Finding the Third Proportional to 6,018,678 and 9,329,823

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Solution

The third proportional to 6,018,678 and 9,329,823 is: 14,462,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018,678 : 9,329,823 = 9,329,823 : x
  2. Step 2: Convert to fraction form
    6,018,678/9,329,823 = 9,329,823/x
  3. Step 3: Cross multiply
    6,018,678x = 9,329,823 × 9,329,823
  4. Step 4: Simplify right side
    6,018,678x = 87,045,597,211,329
  5. Step 5: Solve for x
    x = 87,045,597,211,329/6,018,678
  6. Step 6: Final answer
    x = 14,462,577.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.