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Finding the Third Proportional to 6,437,814 and 13,921,032

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Solution

The third proportional to 6,437,814 and 13,921,032 is: 30,102,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,814 : 13,921,032 = 13,921,032 : x
  2. Step 2: Convert to fraction form
    6,437,814/13,921,032 = 13,921,032/x
  3. Step 3: Cross multiply
    6,437,814x = 13,921,032 × 13,921,032
  4. Step 4: Simplify right side
    6,437,814x = 193,795,131,945,024
  5. Step 5: Solve for x
    x = 193,795,131,945,024/6,437,814
  6. Step 6: Final answer
    x = 30,102,629.86

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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.