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Finding the Third Proportional to 4,359,542.63 and 7,178,441.63

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Solution

The third proportional to 4,359,542.63 and 7,178,441.63 is: 11,820,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359,542.63 : 7,178,441.63 = 7,178,441.63 : x
  2. Step 2: Convert to fraction form
    4,359,542.63/7,178,441.63 = 7,178,441.63/x
  3. Step 3: Cross multiply
    4,359,542.63x = 7,178,441.63 × 7,178,441.63
  4. Step 4: Simplify right side
    4,359,542.63x = 51,530,024,163,532.64
  5. Step 5: Solve for x
    x = 51,530,024,163,532.64/4,359,542.63
  6. Step 6: Final answer
    x = 11,820,052.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.