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Finding the Third Proportional to 11,200,684 and 24,428,634

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Solution

The third proportional to 11,200,684 and 24,428,634 is: 53,278,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200,684 : 24,428,634 = 24,428,634 : x
  2. Step 2: Convert to fraction form
    11,200,684/24,428,634 = 24,428,634/x
  3. Step 3: Cross multiply
    11,200,684x = 24,428,634 × 24,428,634
  4. Step 4: Simplify right side
    11,200,684x = 596,758,159,105,956
  5. Step 5: Solve for x
    x = 596,758,159,105,956/11,200,684
  6. Step 6: Final answer
    x = 53,278,724.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.