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Finding the Third Proportional to 7,665,376 and 11,782,232

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Solution

The third proportional to 7,665,376 and 11,782,232 is: 18,110,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,376 : 11,782,232 = 11,782,232 : x
  2. Step 2: Convert to fraction form
    7,665,376/11,782,232 = 11,782,232/x
  3. Step 3: Cross multiply
    7,665,376x = 11,782,232 × 11,782,232
  4. Step 4: Simplify right side
    7,665,376x = 138,820,990,901,824
  5. Step 5: Solve for x
    x = 138,820,990,901,824/7,665,376
  6. Step 6: Final answer
    x = 18,110,134.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.