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Finding the Third Proportional to 5,627,427 and 11,453,736

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Solution

The third proportional to 5,627,427 and 11,453,736 is: 23,312,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627,427 : 11,453,736 = 11,453,736 : x
  2. Step 2: Convert to fraction form
    5,627,427/11,453,736 = 11,453,736/x
  3. Step 3: Cross multiply
    5,627,427x = 11,453,736 × 11,453,736
  4. Step 4: Simplify right side
    5,627,427x = 131,188,068,357,696
  5. Step 5: Solve for x
    x = 131,188,068,357,696/5,627,427
  6. Step 6: Final answer
    x = 23,312,264.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.