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Finding the Third Proportional to 2,735,232 and 5,952,096

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Solution

The third proportional to 2,735,232 and 5,952,096 is: 12,952,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,232 : 5,952,096 = 5,952,096 : x
  2. Step 2: Convert to fraction form
    2,735,232/5,952,096 = 5,952,096/x
  3. Step 3: Cross multiply
    2,735,232x = 5,952,096 × 5,952,096
  4. Step 4: Simplify right side
    2,735,232x = 35,427,446,793,216
  5. Step 5: Solve for x
    x = 35,427,446,793,216/2,735,232
  6. Step 6: Final answer
    x = 12,952,263.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.