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Finding the Third Proportional to 9,629,007 and 20,774,712

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Solution

The third proportional to 9,629,007 and 20,774,712 is: 44,821,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,007 : 20,774,712 = 20,774,712 : x
  2. Step 2: Convert to fraction form
    9,629,007/20,774,712 = 20,774,712/x
  3. Step 3: Cross multiply
    9,629,007x = 20,774,712 × 20,774,712
  4. Step 4: Simplify right side
    9,629,007x = 431,588,658,682,944
  5. Step 5: Solve for x
    x = 431,588,658,682,944/9,629,007
  6. Step 6: Final answer
    x = 44,821,720.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.