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Finding the Third Proportional to 13,289,608.69 and 20,847,472.31

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Solution

The third proportional to 13,289,608.69 and 20,847,472.31 is: 32,703,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289,608.69 : 20,847,472.31 = 20,847,472.31 : x
  2. Step 2: Convert to fraction form
    13,289,608.69/20,847,472.31 = 20,847,472.31/x
  3. Step 3: Cross multiply
    13,289,608.69x = 20,847,472.31 × 20,847,472.31
  4. Step 4: Simplify right side
    13,289,608.69x = 434,617,101,820,454.12
  5. Step 5: Solve for x
    x = 434,617,101,820,454.12/13,289,608.69
  6. Step 6: Final answer
    x = 32,703,528.90

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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.