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Finding the Third Proportional to 9,629,013 and 20,774,724

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Solution

The third proportional to 9,629,013 and 20,774,724 is: 44,821,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,013 : 20,774,724 = 20,774,724 : x
  2. Step 2: Convert to fraction form
    9,629,013/20,774,724 = 20,774,724/x
  3. Step 3: Cross multiply
    9,629,013x = 20,774,724 × 20,774,724
  4. Step 4: Simplify right side
    9,629,013x = 431,589,157,276,176
  5. Step 5: Solve for x
    x = 431,589,157,276,176/9,629,013
  6. Step 6: Final answer
    x = 44,821,744.17

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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.