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Finding the Third Proportional to 6,309,812 and 13,725,164

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Solution

The third proportional to 6,309,812 and 13,725,164 is: 29,855,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,812 : 13,725,164 = 13,725,164 : x
  2. Step 2: Convert to fraction form
    6,309,812/13,725,164 = 13,725,164/x
  3. Step 3: Cross multiply
    6,309,812x = 13,725,164 × 13,725,164
  4. Step 4: Simplify right side
    6,309,812x = 188,380,126,826,896
  5. Step 5: Solve for x
    x = 188,380,126,826,896/6,309,812
  6. Step 6: Final answer
    x = 29,855,109.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.