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Finding the Third Proportional to 9,734,775.75 and 15,133,149

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Solution

The third proportional to 9,734,775.75 and 15,133,149 is: 23,525,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734,775.75 : 15,133,149 = 15,133,149 : x
  2. Step 2: Convert to fraction form
    9,734,775.75/15,133,149 = 15,133,149/x
  3. Step 3: Cross multiply
    9,734,775.75x = 15,133,149 × 15,133,149
  4. Step 4: Simplify right side
    9,734,775.75x = 229,012,198,656,201
  5. Step 5: Solve for x
    x = 229,012,198,656,201/9,734,775.75
  6. Step 6: Final answer
    x = 23,525,164.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.