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Finding the Third Proportional to 5,435,150 and 11,846,864

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Solution

The third proportional to 5,435,150 and 11,846,864 is: 25,822,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435,150 : 11,846,864 = 11,846,864 : x
  2. Step 2: Convert to fraction form
    5,435,150/11,846,864 = 11,846,864/x
  3. Step 3: Cross multiply
    5,435,150x = 11,846,864 × 11,846,864
  4. Step 4: Simplify right side
    5,435,150x = 140,348,186,634,496
  5. Step 5: Solve for x
    x = 140,348,186,634,496/5,435,150
  6. Step 6: Final answer
    x = 25,822,320.75

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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.