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Finding the Third Proportional to 3,670,236 and 7,871,823

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Solution

The third proportional to 3,670,236 and 7,871,823 is: 16,883,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,236 : 7,871,823 = 7,871,823 : x
  2. Step 2: Convert to fraction form
    3,670,236/7,871,823 = 7,871,823/x
  3. Step 3: Cross multiply
    3,670,236x = 7,871,823 × 7,871,823
  4. Step 4: Simplify right side
    3,670,236x = 61,965,597,343,329
  5. Step 5: Solve for x
    x = 61,965,597,343,329/3,670,236
  6. Step 6: Final answer
    x = 16,883,273.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.