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Finding the Third Proportional to 13,627,213 and 20,945,963

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Solution

The third proportional to 13,627,213 and 20,945,963 is: 32,195,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627,213 : 20,945,963 = 20,945,963 : x
  2. Step 2: Convert to fraction form
    13,627,213/20,945,963 = 20,945,963/x
  3. Step 3: Cross multiply
    13,627,213x = 20,945,963 × 20,945,963
  4. Step 4: Simplify right side
    13,627,213x = 438,733,365,997,369
  5. Step 5: Solve for x
    x = 438,733,365,997,369/13,627,213
  6. Step 6: Final answer
    x = 32,195,384.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.