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Finding the Third Proportional to 3,880,532.25 and 8,163,284.63

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Solution

The third proportional to 3,880,532.25 and 8,163,284.63 is: 17,172,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,532.25 : 8,163,284.63 = 8,163,284.63 : x
  2. Step 2: Convert to fraction form
    3,880,532.25/8,163,284.63 = 8,163,284.63/x
  3. Step 3: Cross multiply
    3,880,532.25x = 8,163,284.63 × 8,163,284.63
  4. Step 4: Simplify right side
    3,880,532.25x = 66,639,215,868,761.39
  5. Step 5: Solve for x
    x = 66,639,215,868,761.39/3,880,532.25
  6. Step 6: Final answer
    x = 17,172,699.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.