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Finding the Third Proportional to 7,514,409.75 and 16,412,319

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Solution

The third proportional to 7,514,409.75 and 16,412,319 is: 35,846,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514,409.75 : 16,412,319 = 16,412,319 : x
  2. Step 2: Convert to fraction form
    7,514,409.75/16,412,319 = 16,412,319/x
  3. Step 3: Cross multiply
    7,514,409.75x = 16,412,319 × 16,412,319
  4. Step 4: Simplify right side
    7,514,409.75x = 269,364,214,957,761
  5. Step 5: Solve for x
    x = 269,364,214,957,761/7,514,409.75
  6. Step 6: Final answer
    x = 35,846,357.06

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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.