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Finding the Third Proportional to 3,668,078.50 and 8,044,744.50

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Solution

The third proportional to 3,668,078.50 and 8,044,744.50 is: 17,643,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,078.50 : 8,044,744.50 = 8,044,744.50 : x
  2. Step 2: Convert to fraction form
    3,668,078.50/8,044,744.50 = 8,044,744.50/x
  3. Step 3: Cross multiply
    3,668,078.50x = 8,044,744.50 × 8,044,744.50
  4. Step 4: Simplify right side
    3,668,078.50x = 64,717,914,070,280.25
  5. Step 5: Solve for x
    x = 64,717,914,070,280.25/3,668,078.50
  6. Step 6: Final answer
    x = 17,643,546.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.