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Finding the Third Proportional to 7,668,578.81 and 16,803,768.94

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Solution

The third proportional to 7,668,578.81 and 16,803,768.94 is: 36,821,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,578.81 : 16,803,768.94 = 16,803,768.94 : x
  2. Step 2: Convert to fraction form
    7,668,578.81/16,803,768.94 = 16,803,768.94/x
  3. Step 3: Cross multiply
    7,668,578.81x = 16,803,768.94 × 16,803,768.94
  4. Step 4: Simplify right side
    7,668,578.81x = 282,366,650,504,889.88
  5. Step 5: Solve for x
    x = 282,366,650,504,889.88/7,668,578.81
  6. Step 6: Final answer
    x = 36,821,249.07

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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.