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Finding the Third Proportional to 9,107,453.75 and 19,728,271

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Solution

The third proportional to 9,107,453.75 and 19,728,271 is: 42,734,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107,453.75 : 19,728,271 = 19,728,271 : x
  2. Step 2: Convert to fraction form
    9,107,453.75/19,728,271 = 19,728,271/x
  3. Step 3: Cross multiply
    9,107,453.75x = 19,728,271 × 19,728,271
  4. Step 4: Simplify right side
    9,107,453.75x = 389,204,676,649,441
  5. Step 5: Solve for x
    x = 389,204,676,649,441/9,107,453.75
  6. Step 6: Final answer
    x = 42,734,740.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.