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Finding the Third Proportional to 11,862,324 and 25,899,336

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Solution

The third proportional to 11,862,324 and 25,899,336 is: 56,546,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862,324 : 25,899,336 = 25,899,336 : x
  2. Step 2: Convert to fraction form
    11,862,324/25,899,336 = 25,899,336/x
  3. Step 3: Cross multiply
    11,862,324x = 25,899,336 × 25,899,336
  4. Step 4: Simplify right side
    11,862,324x = 670,775,605,240,896
  5. Step 5: Solve for x
    x = 670,775,605,240,896/11,862,324
  6. Step 6: Final answer
    x = 56,546,727.71

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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.