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Finding the Third Proportional to 7,716,184 and 11,361,096

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Solution

The third proportional to 7,716,184 and 11,361,096 is: 16,727,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,184 : 11,361,096 = 11,361,096 : x
  2. Step 2: Convert to fraction form
    7,716,184/11,361,096 = 11,361,096/x
  3. Step 3: Cross multiply
    7,716,184x = 11,361,096 × 11,361,096
  4. Step 4: Simplify right side
    7,716,184x = 129,074,502,321,216
  5. Step 5: Solve for x
    x = 129,074,502,321,216/7,716,184
  6. Step 6: Final answer
    x = 16,727,763.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.