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Finding the Third Proportional to 7,303,768 and 11,397,808

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Solution

The third proportional to 7,303,768 and 11,397,808 is: 17,786,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,768 : 11,397,808 = 11,397,808 : x
  2. Step 2: Convert to fraction form
    7,303,768/11,397,808 = 11,397,808/x
  3. Step 3: Cross multiply
    7,303,768x = 11,397,808 × 11,397,808
  4. Step 4: Simplify right side
    7,303,768x = 129,910,027,204,864
  5. Step 5: Solve for x
    x = 129,910,027,204,864/7,303,768
  6. Step 6: Final answer
    x = 17,786,713.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.