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Finding the Third Proportional to 11,407,306 and 17,398,279

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Solution

The third proportional to 11,407,306 and 17,398,279 is: 26,535,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407,306 : 17,398,279 = 17,398,279 : x
  2. Step 2: Convert to fraction form
    11,407,306/17,398,279 = 17,398,279/x
  3. Step 3: Cross multiply
    11,407,306x = 17,398,279 × 17,398,279
  4. Step 4: Simplify right side
    11,407,306x = 302,700,112,161,841
  5. Step 5: Solve for x
    x = 302,700,112,161,841/11,407,306
  6. Step 6: Final answer
    x = 26,535,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.