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Finding the Third Proportional to 5,303,930 and 11,453,014

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Solution

The third proportional to 5,303,930 and 11,453,014 is: 24,731,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,930 : 11,453,014 = 11,453,014 : x
  2. Step 2: Convert to fraction form
    5,303,930/11,453,014 = 11,453,014/x
  3. Step 3: Cross multiply
    5,303,930x = 11,453,014 × 11,453,014
  4. Step 4: Simplify right side
    5,303,930x = 131,171,529,684,196
  5. Step 5: Solve for x
    x = 131,171,529,684,196/5,303,930
  6. Step 6: Final answer
    x = 24,731,006.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.