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Finding the Third Proportional to 11,260,880 and 24,586,016

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Solution

The third proportional to 11,260,880 and 24,586,016 is: 53,678,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260,880 : 24,586,016 = 24,586,016 : x
  2. Step 2: Convert to fraction form
    11,260,880/24,586,016 = 24,586,016/x
  3. Step 3: Cross multiply
    11,260,880x = 24,586,016 × 24,586,016
  4. Step 4: Simplify right side
    11,260,880x = 604,472,182,752,256
  5. Step 5: Solve for x
    x = 604,472,182,752,256/11,260,880
  6. Step 6: Final answer
    x = 53,678,947.18

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Why These Related Problems?

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