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Finding the Third Proportional to 8,741,857.50 and 13,234,711.50

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Solution

The third proportional to 8,741,857.50 and 13,234,711.50 is: 20,036,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741,857.50 : 13,234,711.50 = 13,234,711.50 : x
  2. Step 2: Convert to fraction form
    8,741,857.50/13,234,711.50 = 13,234,711.50/x
  3. Step 3: Cross multiply
    8,741,857.50x = 13,234,711.50 × 13,234,711.50
  4. Step 4: Simplify right side
    8,741,857.50x = 175,157,588,488,232.25
  5. Step 5: Solve for x
    x = 175,157,588,488,232.25/8,741,857.50
  6. Step 6: Final answer
    x = 20,036,655.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.