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Finding the Third Proportional to 10,402,402 and 13,802,874

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Solution

The third proportional to 10,402,402 and 13,802,874 is: 18,314,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,402 : 13,802,874 = 13,802,874 : x
  2. Step 2: Convert to fraction form
    10,402,402/13,802,874 = 13,802,874/x
  3. Step 3: Cross multiply
    10,402,402x = 13,802,874 × 13,802,874
  4. Step 4: Simplify right side
    10,402,402x = 190,519,330,659,876
  5. Step 5: Solve for x
    x = 190,519,330,659,876/10,402,402
  6. Step 6: Final answer
    x = 18,314,936.36

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.