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Finding the Third Proportional to 11,538,321 and 24,621,156

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Solution

The third proportional to 11,538,321 and 24,621,156 is: 52,538,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538,321 : 24,621,156 = 24,621,156 : x
  2. Step 2: Convert to fraction form
    11,538,321/24,621,156 = 24,621,156/x
  3. Step 3: Cross multiply
    11,538,321x = 24,621,156 × 24,621,156
  4. Step 4: Simplify right side
    11,538,321x = 606,201,322,776,336
  5. Step 5: Solve for x
    x = 606,201,322,776,336/11,538,321
  6. Step 6: Final answer
    x = 52,538,087.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.