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Finding the Third Proportional to 3,668,082.50 and 8,044,752.50

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Solution

The third proportional to 3,668,082.50 and 8,044,752.50 is: 17,643,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,082.50 : 8,044,752.50 = 8,044,752.50 : x
  2. Step 2: Convert to fraction form
    3,668,082.50/8,044,752.50 = 8,044,752.50/x
  3. Step 3: Cross multiply
    3,668,082.50x = 8,044,752.50 × 8,044,752.50
  4. Step 4: Simplify right side
    3,668,082.50x = 64,718,042,786,256.25
  5. Step 5: Solve for x
    x = 64,718,042,786,256.25/3,668,082.50
  6. Step 6: Final answer
    x = 17,643,562.48

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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.