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Finding the Third Proportional to 7,583,992 and 16,380,052.75

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Solution

The third proportional to 7,583,992 and 16,380,052.75 is: 35,377,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,992 : 16,380,052.75 = 16,380,052.75 : x
  2. Step 2: Convert to fraction form
    7,583,992/16,380,052.75 = 16,380,052.75/x
  3. Step 3: Cross multiply
    7,583,992x = 16,380,052.75 × 16,380,052.75
  4. Step 4: Simplify right side
    7,583,992x = 268,306,128,092,782.56
  5. Step 5: Solve for x
    x = 268,306,128,092,782.56/7,583,992
  6. Step 6: Final answer
    x = 35,377,955.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.