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Finding the Third Proportional to 11,538,149 and 24,620,617

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Solution

The third proportional to 11,538,149 and 24,620,617 is: 52,536,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538,149 : 24,620,617 = 24,620,617 : x
  2. Step 2: Convert to fraction form
    11,538,149/24,620,617 = 24,620,617/x
  3. Step 3: Cross multiply
    11,538,149x = 24,620,617 × 24,620,617
  4. Step 4: Simplify right side
    11,538,149x = 606,174,781,460,689
  5. Step 5: Solve for x
    x = 606,174,781,460,689/11,538,149
  6. Step 6: Final answer
    x = 52,536,570.77

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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.