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Finding the Third Proportional to 3,747,559.50 and 8,137,256.63

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Solution

The third proportional to 3,747,559.50 and 8,137,256.63 is: 17,668,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,559.50 : 8,137,256.63 = 8,137,256.63 : x
  2. Step 2: Convert to fraction form
    3,747,559.50/8,137,256.63 = 8,137,256.63/x
  3. Step 3: Cross multiply
    3,747,559.50x = 8,137,256.63 × 8,137,256.63
  4. Step 4: Simplify right side
    3,747,559.50x = 66,214,945,381,106.39
  5. Step 5: Solve for x
    x = 66,214,945,381,106.39/3,747,559.50
  6. Step 6: Final answer
    x = 17,668,817.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.