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Finding the Third Proportional to 5,475,825.28 and 8,512,416.56

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Solution

The third proportional to 5,475,825.28 and 8,512,416.56 is: 13,232,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,825.28 : 8,512,416.56 = 8,512,416.56 : x
  2. Step 2: Convert to fraction form
    5,475,825.28/8,512,416.56 = 8,512,416.56/x
  3. Step 3: Cross multiply
    5,475,825.28x = 8,512,416.56 × 8,512,416.56
  4. Step 4: Simplify right side
    5,475,825.28x = 72,461,235,733,524.31
  5. Step 5: Solve for x
    x = 72,461,235,733,524.31/5,475,825.28
  6. Step 6: Final answer
    x = 13,232,934.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.