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Finding the Third Proportional to 10,451,210 and 21,322,322

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Solution

The third proportional to 10,451,210 and 21,322,322 is: 43,501,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,210 : 21,322,322 = 21,322,322 : x
  2. Step 2: Convert to fraction form
    10,451,210/21,322,322 = 21,322,322/x
  3. Step 3: Cross multiply
    10,451,210x = 21,322,322 × 21,322,322
  4. Step 4: Simplify right side
    10,451,210x = 454,641,415,471,684
  5. Step 5: Solve for x
    x = 454,641,415,471,684/10,451,210
  6. Step 6: Final answer
    x = 43,501,318.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.