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Finding the Third Proportional to 6,675,682.50 and 14,296,140

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Solution

The third proportional to 6,675,682.50 and 14,296,140 is: 30,615,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,682.50 : 14,296,140 = 14,296,140 : x
  2. Step 2: Convert to fraction form
    6,675,682.50/14,296,140 = 14,296,140/x
  3. Step 3: Cross multiply
    6,675,682.50x = 14,296,140 × 14,296,140
  4. Step 4: Simplify right side
    6,675,682.50x = 204,379,618,899,600
  5. Step 5: Solve for x
    x = 204,379,618,899,600/6,675,682.50
  6. Step 6: Final answer
    x = 30,615,539.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.