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Finding the Third Proportional to 4,616,969 and 10,022,485

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Solution

The third proportional to 4,616,969 and 10,022,485 is: 21,756,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,969 : 10,022,485 = 10,022,485 : x
  2. Step 2: Convert to fraction form
    4,616,969/10,022,485 = 10,022,485/x
  3. Step 3: Cross multiply
    4,616,969x = 10,022,485 × 10,022,485
  4. Step 4: Simplify right side
    4,616,969x = 100,450,205,575,225
  5. Step 5: Solve for x
    x = 100,450,205,575,225/4,616,969
  6. Step 6: Final answer
    x = 21,756,742.48

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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.