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Finding the Third Proportional to 4,486,923 and 9,796,158

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Solution

The third proportional to 4,486,923 and 9,796,158 is: 21,387,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,923 : 9,796,158 = 9,796,158 : x
  2. Step 2: Convert to fraction form
    4,486,923/9,796,158 = 9,796,158/x
  3. Step 3: Cross multiply
    4,486,923x = 9,796,158 × 9,796,158
  4. Step 4: Simplify right side
    4,486,923x = 95,964,711,560,964
  5. Step 5: Solve for x
    x = 95,964,711,560,964/4,486,923
  6. Step 6: Final answer
    x = 21,387,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.