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Finding the Third Proportional to 6,324,386 and 13,608,109

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Solution

The third proportional to 6,324,386 and 13,608,109 is: 29,280,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,386 : 13,608,109 = 13,608,109 : x
  2. Step 2: Convert to fraction form
    6,324,386/13,608,109 = 13,608,109/x
  3. Step 3: Cross multiply
    6,324,386x = 13,608,109 × 13,608,109
  4. Step 4: Simplify right side
    6,324,386x = 185,180,630,555,881
  5. Step 5: Solve for x
    x = 185,180,630,555,881/6,324,386
  6. Step 6: Final answer
    x = 29,280,412.45

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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.