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Finding the Third Proportional to 8,414,732.25 and 18,425,570.63

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Solution

The third proportional to 8,414,732.25 and 18,425,570.63 is: 40,346,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414,732.25 : 18,425,570.63 = 18,425,570.63 : x
  2. Step 2: Convert to fraction form
    8,414,732.25/18,425,570.63 = 18,425,570.63/x
  3. Step 3: Cross multiply
    8,414,732.25x = 18,425,570.63 × 18,425,570.63
  4. Step 4: Simplify right side
    8,414,732.25x = 339,501,652,856,862.88
  5. Step 5: Solve for x
    x = 339,501,652,856,862.88/8,414,732.25
  6. Step 6: Final answer
    x = 40,346,102.86

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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.