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Finding the Third Proportional to 5,305,691 and 11,368,462

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Solution

The third proportional to 5,305,691 and 11,368,462 is: 24,359,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,691 : 11,368,462 = 11,368,462 : x
  2. Step 2: Convert to fraction form
    5,305,691/11,368,462 = 11,368,462/x
  3. Step 3: Cross multiply
    5,305,691x = 11,368,462 × 11,368,462
  4. Step 4: Simplify right side
    5,305,691x = 129,241,928,245,444
  5. Step 5: Solve for x
    x = 129,241,928,245,444/5,305,691
  6. Step 6: Final answer
    x = 24,359,113.31

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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.