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Finding the Third Proportional to 5,971,224 and 12,794,340

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Solution

The third proportional to 5,971,224 and 12,794,340 is: 27,414,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,224 : 12,794,340 = 12,794,340 : x
  2. Step 2: Convert to fraction form
    5,971,224/12,794,340 = 12,794,340/x
  3. Step 3: Cross multiply
    5,971,224x = 12,794,340 × 12,794,340
  4. Step 4: Simplify right side
    5,971,224x = 163,695,136,035,600
  5. Step 5: Solve for x
    x = 163,695,136,035,600/5,971,224
  6. Step 6: Final answer
    x = 27,414,000.22

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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.