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Finding the Third Proportional to 3,670,238 and 7,871,827

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Solution

The third proportional to 3,670,238 and 7,871,827 is: 16,883,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,238 : 7,871,827 = 7,871,827 : x
  2. Step 2: Convert to fraction form
    3,670,238/7,871,827 = 7,871,827/x
  3. Step 3: Cross multiply
    3,670,238x = 7,871,827 × 7,871,827
  4. Step 4: Simplify right side
    3,670,238x = 61,965,660,317,929
  5. Step 5: Solve for x
    x = 61,965,660,317,929/3,670,238
  6. Step 6: Final answer
    x = 16,883,281.23

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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.