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Finding the Third Proportional to 6,954,454 and 10,638,232

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Solution

The third proportional to 6,954,454 and 10,638,232 is: 16,273,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,454 : 10,638,232 = 10,638,232 : x
  2. Step 2: Convert to fraction form
    6,954,454/10,638,232 = 10,638,232/x
  3. Step 3: Cross multiply
    6,954,454x = 10,638,232 × 10,638,232
  4. Step 4: Simplify right side
    6,954,454x = 113,171,980,085,824
  5. Step 5: Solve for x
    x = 113,171,980,085,824/6,954,454
  6. Step 6: Final answer
    x = 16,273,309.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.