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Finding the Third Proportional to 6,395,980 and 13,912,597

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Solution

The third proportional to 6,395,980 and 13,912,597 is: 30,262,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395,980 : 13,912,597 = 13,912,597 : x
  2. Step 2: Convert to fraction form
    6,395,980/13,912,597 = 13,912,597/x
  3. Step 3: Cross multiply
    6,395,980x = 13,912,597 × 13,912,597
  4. Step 4: Simplify right side
    6,395,980x = 193,560,355,284,409
  5. Step 5: Solve for x
    x = 193,560,355,284,409/6,395,980
  6. Step 6: Final answer
    x = 30,262,814.34

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