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Finding the Third Proportional to 2,668,963.50 and 5,820,913.13

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Solution

The third proportional to 2,668,963.50 and 5,820,913.13 is: 12,695,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,963.50 : 5,820,913.13 = 5,820,913.13 : x
  2. Step 2: Convert to fraction form
    2,668,963.50/5,820,913.13 = 5,820,913.13/x
  3. Step 3: Cross multiply
    2,668,963.50x = 5,820,913.13 × 5,820,913.13
  4. Step 4: Simplify right side
    2,668,963.50x = 33,883,029,608,797.27
  5. Step 5: Solve for x
    x = 33,883,029,608,797.27/2,668,963.50
  6. Step 6: Final answer
    x = 12,695,201.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.