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Finding the Third Proportional to 7,665,370 and 11,782,223

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Solution

The third proportional to 7,665,370 and 11,782,223 is: 18,110,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,370 : 11,782,223 = 11,782,223 : x
  2. Step 2: Convert to fraction form
    7,665,370/11,782,223 = 11,782,223/x
  3. Step 3: Cross multiply
    7,665,370x = 11,782,223 × 11,782,223
  4. Step 4: Simplify right side
    7,665,370x = 138,820,778,821,729
  5. Step 5: Solve for x
    x = 138,820,778,821,729/7,665,370
  6. Step 6: Final answer
    x = 18,110,121.08

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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.