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Finding the Third Proportional to 14,328,418.50 and 31,471,711.50

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Solution

The third proportional to 14,328,418.50 and 31,471,711.50 is: 69,126,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328,418.50 : 31,471,711.50 = 31,471,711.50 : x
  2. Step 2: Convert to fraction form
    14,328,418.50/31,471,711.50 = 31,471,711.50/x
  3. Step 3: Cross multiply
    14,328,418.50x = 31,471,711.50 × 31,471,711.50
  4. Step 4: Simplify right side
    14,328,418.50x = 990,468,624,739,232.25
  5. Step 5: Solve for x
    x = 990,468,624,739,232.25/14,328,418.50
  6. Step 6: Final answer
    x = 69,126,165.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.