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Finding the Third Proportional to 6,309,840 and 13,725,224

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Solution

The third proportional to 6,309,840 and 13,725,224 is: 29,855,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,840 : 13,725,224 = 13,725,224 : x
  2. Step 2: Convert to fraction form
    6,309,840/13,725,224 = 13,725,224/x
  3. Step 3: Cross multiply
    6,309,840x = 13,725,224 × 13,725,224
  4. Step 4: Simplify right side
    6,309,840x = 188,381,773,850,176
  5. Step 5: Solve for x
    x = 188,381,773,850,176/6,309,840
  6. Step 6: Final answer
    x = 29,855,237.83

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Why These Related Problems?

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