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Finding the Third Proportional to 7,083,733.50 and 15,018,723

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Solution

The third proportional to 7,083,733.50 and 15,018,723 is: 31,842,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083,733.50 : 15,018,723 = 15,018,723 : x
  2. Step 2: Convert to fraction form
    7,083,733.50/15,018,723 = 15,018,723/x
  3. Step 3: Cross multiply
    7,083,733.50x = 15,018,723 × 15,018,723
  4. Step 4: Simplify right side
    7,083,733.50x = 225,562,040,550,729
  5. Step 5: Solve for x
    x = 225,562,040,550,729/7,083,733.50
  6. Step 6: Final answer
    x = 31,842,253.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.