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Finding the Third Proportional to 10,346,823 and 22,454,120

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Solution

The third proportional to 10,346,823 and 22,454,120 is: 48,728,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,823 : 22,454,120 = 22,454,120 : x
  2. Step 2: Convert to fraction form
    10,346,823/22,454,120 = 22,454,120/x
  3. Step 3: Cross multiply
    10,346,823x = 22,454,120 × 22,454,120
  4. Step 4: Simplify right side
    10,346,823x = 504,187,504,974,400
  5. Step 5: Solve for x
    x = 504,187,504,974,400/10,346,823
  6. Step 6: Final answer
    x = 48,728,726.20

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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.