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Finding the Third Proportional to 14,278,807.50 and 21,753,004.50

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Solution

The third proportional to 14,278,807.50 and 21,753,004.50 is: 33,139,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278,807.50 : 21,753,004.50 = 21,753,004.50 : x
  2. Step 2: Convert to fraction form
    14,278,807.50/21,753,004.50 = 21,753,004.50/x
  3. Step 3: Cross multiply
    14,278,807.50x = 21,753,004.50 × 21,753,004.50
  4. Step 4: Simplify right side
    14,278,807.50x = 473,193,204,777,020.25
  5. Step 5: Solve for x
    x = 473,193,204,777,020.25/14,278,807.50
  6. Step 6: Final answer
    x = 33,139,546.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.