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Finding the Third Proportional to 5,313,688 and 11,383,266

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Solution

The third proportional to 5,313,688 and 11,383,266 is: 24,385,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313,688 : 11,383,266 = 11,383,266 : x
  2. Step 2: Convert to fraction form
    5,313,688/11,383,266 = 11,383,266/x
  3. Step 3: Cross multiply
    5,313,688x = 11,383,266 × 11,383,266
  4. Step 4: Simplify right side
    5,313,688x = 129,578,744,826,756
  5. Step 5: Solve for x
    x = 129,578,744,826,756/5,313,688
  6. Step 6: Final answer
    x = 24,385,839.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.