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Finding the Third Proportional to 5,235,072 and 11,073,726

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Solution

The third proportional to 5,235,072 and 11,073,726 is: 23,424,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235,072 : 11,073,726 = 11,073,726 : x
  2. Step 2: Convert to fraction form
    5,235,072/11,073,726 = 11,073,726/x
  3. Step 3: Cross multiply
    5,235,072x = 11,073,726 × 11,073,726
  4. Step 4: Simplify right side
    5,235,072x = 122,627,407,523,076
  5. Step 5: Solve for x
    x = 122,627,407,523,076/5,235,072
  6. Step 6: Final answer
    x = 23,424,206.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.