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Finding the Third Proportional to 2,496,223.50 and 5,390,208

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Solution

The third proportional to 2,496,223.50 and 5,390,208 is: 11,639,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,223.50 : 5,390,208 = 5,390,208 : x
  2. Step 2: Convert to fraction form
    2,496,223.50/5,390,208 = 5,390,208/x
  3. Step 3: Cross multiply
    2,496,223.50x = 5,390,208 × 5,390,208
  4. Step 4: Simplify right side
    2,496,223.50x = 29,054,342,283,264
  5. Step 5: Solve for x
    x = 29,054,342,283,264/2,496,223.50
  6. Step 6: Final answer
    x = 11,639,319.27

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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.