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Finding the Third Proportional to 7,734,914 and 16,104,988

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Solution

The third proportional to 7,734,914 and 16,104,988 is: 33,532,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,914 : 16,104,988 = 16,104,988 : x
  2. Step 2: Convert to fraction form
    7,734,914/16,104,988 = 16,104,988/x
  3. Step 3: Cross multiply
    7,734,914x = 16,104,988 × 16,104,988
  4. Step 4: Simplify right side
    7,734,914x = 259,370,638,480,144
  5. Step 5: Solve for x
    x = 259,370,638,480,144/7,734,914
  6. Step 6: Final answer
    x = 33,532,452.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.