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Finding the Third Proportional to 7,768,380.75 and 11,760,535.13

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Solution

The third proportional to 7,768,380.75 and 11,760,535.13 is: 17,804,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,380.75 : 11,760,535.13 = 11,760,535.13 : x
  2. Step 2: Convert to fraction form
    7,768,380.75/11,760,535.13 = 11,760,535.13/x
  3. Step 3: Cross multiply
    7,768,380.75x = 11,760,535.13 × 11,760,535.13
  4. Step 4: Simplify right side
    7,768,380.75x = 138,310,186,426,358.77
  5. Step 5: Solve for x
    x = 138,310,186,426,358.77/7,768,380.75
  6. Step 6: Final answer
    x = 17,804,249.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.