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Finding the Third Proportional to 5,422,085 and 11,736,814

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Solution

The third proportional to 5,422,085 and 11,736,814 is: 25,405,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422,085 : 11,736,814 = 11,736,814 : x
  2. Step 2: Convert to fraction form
    5,422,085/11,736,814 = 11,736,814/x
  3. Step 3: Cross multiply
    5,422,085x = 11,736,814 × 11,736,814
  4. Step 4: Simplify right side
    5,422,085x = 137,752,802,870,596
  5. Step 5: Solve for x
    x = 137,752,802,870,596/5,422,085
  6. Step 6: Final answer
    x = 25,405,872.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.