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Finding the Third Proportional to 4,322,516 and 10,005,846

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Solution

The third proportional to 4,322,516 and 10,005,846 is: 23,161,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322,516 : 10,005,846 = 10,005,846 : x
  2. Step 2: Convert to fraction form
    4,322,516/10,005,846 = 10,005,846/x
  3. Step 3: Cross multiply
    4,322,516x = 10,005,846 × 10,005,846
  4. Step 4: Simplify right side
    4,322,516x = 100,116,954,175,716
  5. Step 5: Solve for x
    x = 100,116,954,175,716/4,322,516
  6. Step 6: Final answer
    x = 23,161,731.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.