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Finding the Third Proportional to 10,768,002 and 23,049,336

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Solution

The third proportional to 10,768,002 and 23,049,336 is: 49,338,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,002 : 23,049,336 = 23,049,336 : x
  2. Step 2: Convert to fraction form
    10,768,002/23,049,336 = 23,049,336/x
  3. Step 3: Cross multiply
    10,768,002x = 23,049,336 × 23,049,336
  4. Step 4: Simplify right side
    10,768,002x = 531,271,890,040,896
  5. Step 5: Solve for x
    x = 531,271,890,040,896/10,768,002
  6. Step 6: Final answer
    x = 49,338,019.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.