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Finding the Third Proportional to 6,835,288 and 14,554,016

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Solution

The third proportional to 6,835,288 and 14,554,016 is: 30,989,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,288 : 14,554,016 = 14,554,016 : x
  2. Step 2: Convert to fraction form
    6,835,288/14,554,016 = 14,554,016/x
  3. Step 3: Cross multiply
    6,835,288x = 14,554,016 × 14,554,016
  4. Step 4: Simplify right side
    6,835,288x = 211,819,381,728,256
  5. Step 5: Solve for x
    x = 211,819,381,728,256/6,835,288
  6. Step 6: Final answer
    x = 30,989,093.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.