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Finding the Third Proportional to 7,756,560 and 16,752,096

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Solution

The third proportional to 7,756,560 and 16,752,096 is: 36,180,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756,560 : 16,752,096 = 16,752,096 : x
  2. Step 2: Convert to fraction form
    7,756,560/16,752,096 = 16,752,096/x
  3. Step 3: Cross multiply
    7,756,560x = 16,752,096 × 16,752,096
  4. Step 4: Simplify right side
    7,756,560x = 280,632,720,393,216
  5. Step 5: Solve for x
    x = 280,632,720,393,216/7,756,560
  6. Step 6: Final answer
    x = 36,180,048.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.