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Finding the Third Proportional to 5,143,264 and 11,200,880

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Solution

The third proportional to 5,143,264 and 11,200,880 is: 24,393,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,264 : 11,200,880 = 11,200,880 : x
  2. Step 2: Convert to fraction form
    5,143,264/11,200,880 = 11,200,880/x
  3. Step 3: Cross multiply
    5,143,264x = 11,200,880 × 11,200,880
  4. Step 4: Simplify right side
    5,143,264x = 125,459,712,774,400
  5. Step 5: Solve for x
    x = 125,459,712,774,400/5,143,264
  6. Step 6: Final answer
    x = 24,393,014.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.