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Finding the Third Proportional to 5,681,834.25 and 8,529,312.75

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Solution

The third proportional to 5,681,834.25 and 8,529,312.75 is: 12,803,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,834.25 : 8,529,312.75 = 8,529,312.75 : x
  2. Step 2: Convert to fraction form
    5,681,834.25/8,529,312.75 = 8,529,312.75/x
  3. Step 3: Cross multiply
    5,681,834.25x = 8,529,312.75 × 8,529,312.75
  4. Step 4: Simplify right side
    5,681,834.25x = 72,749,175,987,312.56
  5. Step 5: Solve for x
    x = 72,749,175,987,312.56/5,681,834.25
  6. Step 6: Final answer
    x = 12,803,818.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.