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Finding the Third Proportional to 7,279,134 and 11,417,824

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Solution

The third proportional to 7,279,134 and 11,417,824 is: 17,909,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279,134 : 11,417,824 = 11,417,824 : x
  2. Step 2: Convert to fraction form
    7,279,134/11,417,824 = 11,417,824/x
  3. Step 3: Cross multiply
    7,279,134x = 11,417,824 × 11,417,824
  4. Step 4: Simplify right side
    7,279,134x = 130,366,704,894,976
  5. Step 5: Solve for x
    x = 130,366,704,894,976/7,279,134
  6. Step 6: Final answer
    x = 17,909,644.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.