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Finding the Third Proportional to 4,475,296 and 6,629,033

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Solution

The third proportional to 4,475,296 and 6,629,033 is: 9,819,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,296 : 6,629,033 = 6,629,033 : x
  2. Step 2: Convert to fraction form
    4,475,296/6,629,033 = 6,629,033/x
  3. Step 3: Cross multiply
    4,475,296x = 6,629,033 × 6,629,033
  4. Step 4: Simplify right side
    4,475,296x = 43,944,078,515,089
  5. Step 5: Solve for x
    x = 43,944,078,515,089/4,475,296
  6. Step 6: Final answer
    x = 9,819,256.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.