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Finding the Third Proportional to 6,305,350 and 13,577,747

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Solution

The third proportional to 6,305,350 and 13,577,747 is: 29,237,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,350 : 13,577,747 = 13,577,747 : x
  2. Step 2: Convert to fraction form
    6,305,350/13,577,747 = 13,577,747/x
  3. Step 3: Cross multiply
    6,305,350x = 13,577,747 × 13,577,747
  4. Step 4: Simplify right side
    6,305,350x = 184,355,213,596,009
  5. Step 5: Solve for x
    x = 184,355,213,596,009/6,305,350
  6. Step 6: Final answer
    x = 29,237,903.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.