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Finding the Third Proportional to 3,865,224 and 8,198,160

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Solution

The third proportional to 3,865,224 and 8,198,160 is: 17,388,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,224 : 8,198,160 = 8,198,160 : x
  2. Step 2: Convert to fraction form
    3,865,224/8,198,160 = 8,198,160/x
  3. Step 3: Cross multiply
    3,865,224x = 8,198,160 × 8,198,160
  4. Step 4: Simplify right side
    3,865,224x = 67,209,827,385,600
  5. Step 5: Solve for x
    x = 67,209,827,385,600/3,865,224
  6. Step 6: Final answer
    x = 17,388,339.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.