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Finding the Third Proportional to 5,305,707 and 11,367,841

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Solution

The third proportional to 5,305,707 and 11,367,841 is: 24,356,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,707 : 11,367,841 = 11,367,841 : x
  2. Step 2: Convert to fraction form
    5,305,707/11,367,841 = 11,367,841/x
  3. Step 3: Cross multiply
    5,305,707x = 11,367,841 × 11,367,841
  4. Step 4: Simplify right side
    5,305,707x = 129,227,809,001,281
  5. Step 5: Solve for x
    x = 129,227,809,001,281/5,305,707
  6. Step 6: Final answer
    x = 24,356,378.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.