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Finding the Third Proportional to 7,567,414.50 and 11,749,856

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Solution

The third proportional to 7,567,414.50 and 11,749,856 is: 18,243,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,414.50 : 11,749,856 = 11,749,856 : x
  2. Step 2: Convert to fraction form
    7,567,414.50/11,749,856 = 11,749,856/x
  3. Step 3: Cross multiply
    7,567,414.50x = 11,749,856 × 11,749,856
  4. Step 4: Simplify right side
    7,567,414.50x = 138,059,116,020,736
  5. Step 5: Solve for x
    x = 138,059,116,020,736/7,567,414.50
  6. Step 6: Final answer
    x = 18,243,895.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.