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Finding the Third Proportional to 12,661,657.50 and 25,770,786

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Solution

The third proportional to 12,661,657.50 and 25,770,786 is: 52,452,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661,657.50 : 25,770,786 = 25,770,786 : x
  2. Step 2: Convert to fraction form
    12,661,657.50/25,770,786 = 25,770,786/x
  3. Step 3: Cross multiply
    12,661,657.50x = 25,770,786 × 25,770,786
  4. Step 4: Simplify right side
    12,661,657.50x = 664,133,411,057,796
  5. Step 5: Solve for x
    x = 664,133,411,057,796/12,661,657.50
  6. Step 6: Final answer
    x = 52,452,327.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.