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Finding the Third Proportional to 6,555,840 and 14,307,168

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Solution

The third proportional to 6,555,840 and 14,307,168 is: 31,223,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555,840 : 14,307,168 = 14,307,168 : x
  2. Step 2: Convert to fraction form
    6,555,840/14,307,168 = 14,307,168/x
  3. Step 3: Cross multiply
    6,555,840x = 14,307,168 × 14,307,168
  4. Step 4: Simplify right side
    6,555,840x = 204,695,056,180,224
  5. Step 5: Solve for x
    x = 204,695,056,180,224/6,555,840
  6. Step 6: Final answer
    x = 31,223,314.81

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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.