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Finding the Third Proportional to 4,533,711.75 and 6,283,797.75

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Solution

The third proportional to 4,533,711.75 and 6,283,797.75 is: 8,709,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,711.75 : 6,283,797.75 = 6,283,797.75 : x
  2. Step 2: Convert to fraction form
    4,533,711.75/6,283,797.75 = 6,283,797.75/x
  3. Step 3: Cross multiply
    4,533,711.75x = 6,283,797.75 × 6,283,797.75
  4. Step 4: Simplify right side
    4,533,711.75x = 39,486,114,162,905.06
  5. Step 5: Solve for x
    x = 39,486,114,162,905.06/4,533,711.75
  6. Step 6: Final answer
    x = 8,709,445.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.