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Finding the Third Proportional to 21,221,952.75 and 45,469,242

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Solution

The third proportional to 21,221,952.75 and 45,469,242 is: 97,420,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221,952.75 : 45,469,242 = 45,469,242 : x
  2. Step 2: Convert to fraction form
    21,221,952.75/45,469,242 = 45,469,242/x
  3. Step 3: Cross multiply
    21,221,952.75x = 45,469,242 × 45,469,242
  4. Step 4: Simplify right side
    21,221,952.75x = 2,067,451,968,054,564
  5. Step 5: Solve for x
    x = 2,067,451,968,054,564/21,221,952.75
  6. Step 6: Final answer
    x = 97,420,439.69

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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.