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Finding the Third Proportional to 4,573,577.25 and 9,944,286.75

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Solution

The third proportional to 4,573,577.25 and 9,944,286.75 is: 21,621,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573,577.25 : 9,944,286.75 = 9,944,286.75 : x
  2. Step 2: Convert to fraction form
    4,573,577.25/9,944,286.75 = 9,944,286.75/x
  3. Step 3: Cross multiply
    4,573,577.25x = 9,944,286.75 × 9,944,286.75
  4. Step 4: Simplify right side
    4,573,577.25x = 98,888,838,966,225.56
  5. Step 5: Solve for x
    x = 98,888,838,966,225.56/4,573,577.25
  6. Step 6: Final answer
    x = 21,621,770.78

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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.