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Finding the Third Proportional to 6,457,808 and 13,942,903

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Solution

The third proportional to 6,457,808 and 13,942,903 is: 30,103,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,808 : 13,942,903 = 13,942,903 : x
  2. Step 2: Convert to fraction form
    6,457,808/13,942,903 = 13,942,903/x
  3. Step 3: Cross multiply
    6,457,808x = 13,942,903 × 13,942,903
  4. Step 4: Simplify right side
    6,457,808x = 194,404,544,067,409
  5. Step 5: Solve for x
    x = 194,404,544,067,409/6,457,808
  6. Step 6: Final answer
    x = 30,103,797.46

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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.