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Finding the Third Proportional to 20,187,022.50 and 44,282,315.25

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Solution

The third proportional to 20,187,022.50 and 44,282,315.25 is: 97,137,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187,022.50 : 44,282,315.25 = 44,282,315.25 : x
  2. Step 2: Convert to fraction form
    20,187,022.50/44,282,315.25 = 44,282,315.25/x
  3. Step 3: Cross multiply
    20,187,022.50x = 44,282,315.25 × 44,282,315.25
  4. Step 4: Simplify right side
    20,187,022.50x = 1,960,923,443,900,382.50
  5. Step 5: Solve for x
    x = 1,960,923,443,900,382.50/20,187,022.50
  6. Step 6: Final answer
    x = 97,137,824.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.