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Finding the Third Proportional to 11,197,443 and 24,564,390

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Solution

The third proportional to 11,197,443 and 24,564,390 is: 53,888,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,443 : 24,564,390 = 24,564,390 : x
  2. Step 2: Convert to fraction form
    11,197,443/24,564,390 = 24,564,390/x
  3. Step 3: Cross multiply
    11,197,443x = 24,564,390 × 24,564,390
  4. Step 4: Simplify right side
    11,197,443x = 603,409,256,072,100
  5. Step 5: Solve for x
    x = 603,409,256,072,100/11,197,443
  6. Step 6: Final answer
    x = 53,888,129.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.