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Finding the Third Proportional to 5,435,152 and 11,846,868

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Solution

The third proportional to 5,435,152 and 11,846,868 is: 25,822,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435,152 : 11,846,868 = 11,846,868 : x
  2. Step 2: Convert to fraction form
    5,435,152/11,846,868 = 11,846,868/x
  3. Step 3: Cross multiply
    5,435,152x = 11,846,868 × 11,846,868
  4. Step 4: Simplify right side
    5,435,152x = 140,348,281,409,424
  5. Step 5: Solve for x
    x = 140,348,281,409,424/5,435,152
  6. Step 6: Final answer
    x = 25,822,328.69

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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.