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Finding the Third Proportional to 11,882,700 and 17,323,314

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Solution

The third proportional to 11,882,700 and 17,323,314 is: 25,254,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882,700 : 17,323,314 = 17,323,314 : x
  2. Step 2: Convert to fraction form
    11,882,700/17,323,314 = 17,323,314/x
  3. Step 3: Cross multiply
    11,882,700x = 17,323,314 × 17,323,314
  4. Step 4: Simplify right side
    11,882,700x = 300,097,207,942,596
  5. Step 5: Solve for x
    x = 300,097,207,942,596/11,882,700
  6. Step 6: Final answer
    x = 25,254,967.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.