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Finding the Third Proportional to 11,497,208 and 18,035,751

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Solution

The third proportional to 11,497,208 and 18,035,751 is: 28,292,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,208 : 18,035,751 = 18,035,751 : x
  2. Step 2: Convert to fraction form
    11,497,208/18,035,751 = 18,035,751/x
  3. Step 3: Cross multiply
    11,497,208x = 18,035,751 × 18,035,751
  4. Step 4: Simplify right side
    11,497,208x = 325,288,314,134,001
  5. Step 5: Solve for x
    x = 325,288,314,134,001/11,497,208
  6. Step 6: Final answer
    x = 28,292,809.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.