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Finding the Third Proportional to 4,584,843 and 9,965,835

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Solution

The third proportional to 4,584,843 and 9,965,835 is: 21,662,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584,843 : 9,965,835 = 9,965,835 : x
  2. Step 2: Convert to fraction form
    4,584,843/9,965,835 = 9,965,835/x
  3. Step 3: Cross multiply
    4,584,843x = 9,965,835 × 9,965,835
  4. Step 4: Simplify right side
    4,584,843x = 99,317,867,247,225
  5. Step 5: Solve for x
    x = 99,317,867,247,225/4,584,843
  6. Step 6: Final answer
    x = 21,662,217.71

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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.