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Finding the Third Proportional to 9,212,077 and 19,718,231.25

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Solution

The third proportional to 9,212,077 and 19,718,231.25 is: 42,206,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,077 : 19,718,231.25 = 19,718,231.25 : x
  2. Step 2: Convert to fraction form
    9,212,077/19,718,231.25 = 19,718,231.25/x
  3. Step 3: Cross multiply
    9,212,077x = 19,718,231.25 × 19,718,231.25
  4. Step 4: Simplify right side
    9,212,077x = 388,808,643,628,476.56
  5. Step 5: Solve for x
    x = 388,808,643,628,476.56/9,212,077
  6. Step 6: Final answer
    x = 42,206,404.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.