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Finding the Third Proportional to 13,005,954 and 30,117,928.50

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Solution

The third proportional to 13,005,954 and 30,117,928.50 is: 69,744,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005,954 : 30,117,928.50 = 30,117,928.50 : x
  2. Step 2: Convert to fraction form
    13,005,954/30,117,928.50 = 30,117,928.50/x
  3. Step 3: Cross multiply
    13,005,954x = 30,117,928.50 × 30,117,928.50
  4. Step 4: Simplify right side
    13,005,954x = 907,089,617,131,112.25
  5. Step 5: Solve for x
    x = 907,089,617,131,112.25/13,005,954
  6. Step 6: Final answer
    x = 69,744,181.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.