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Finding the Third Proportional to 4,259,105.25 and 9,236,829

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Solution

The third proportional to 4,259,105.25 and 9,236,829 is: 20,032,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,105.25 : 9,236,829 = 9,236,829 : x
  2. Step 2: Convert to fraction form
    4,259,105.25/9,236,829 = 9,236,829/x
  3. Step 3: Cross multiply
    4,259,105.25x = 9,236,829 × 9,236,829
  4. Step 4: Simplify right side
    4,259,105.25x = 85,319,009,975,241
  5. Step 5: Solve for x
    x = 85,319,009,975,241/4,259,105.25
  6. Step 6: Final answer
    x = 20,032,144.07

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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.