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Finding the Third Proportional to 10,524,033 and 15,743,133

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Solution

The third proportional to 10,524,033 and 15,743,133 is: 23,550,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524,033 : 15,743,133 = 15,743,133 : x
  2. Step 2: Convert to fraction form
    10,524,033/15,743,133 = 15,743,133/x
  3. Step 3: Cross multiply
    10,524,033x = 15,743,133 × 15,743,133
  4. Step 4: Simplify right side
    10,524,033x = 247,846,236,655,689
  5. Step 5: Solve for x
    x = 247,846,236,655,689/10,524,033
  6. Step 6: Final answer
    x = 23,550,499.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.