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Finding the Third Proportional to 8,295,046.50 and 12,695,166

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Solution

The third proportional to 8,295,046.50 and 12,695,166 is: 19,429,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,046.50 : 12,695,166 = 12,695,166 : x
  2. Step 2: Convert to fraction form
    8,295,046.50/12,695,166 = 12,695,166/x
  3. Step 3: Cross multiply
    8,295,046.50x = 12,695,166 × 12,695,166
  4. Step 4: Simplify right side
    8,295,046.50x = 161,167,239,767,556
  5. Step 5: Solve for x
    x = 161,167,239,767,556/8,295,046.50
  6. Step 6: Final answer
    x = 19,429,335.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.