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Finding the Third Proportional to 2,569,916 and 5,481,823.50

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Solution

The third proportional to 2,569,916 and 5,481,823.50 is: 11,693,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,916 : 5,481,823.50 = 5,481,823.50 : x
  2. Step 2: Convert to fraction form
    2,569,916/5,481,823.50 = 5,481,823.50/x
  3. Step 3: Cross multiply
    2,569,916x = 5,481,823.50 × 5,481,823.50
  4. Step 4: Simplify right side
    2,569,916x = 30,050,388,885,152.25
  5. Step 5: Solve for x
    x = 30,050,388,885,152.25/2,569,916
  6. Step 6: Final answer
    x = 11,693,140.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.