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Finding the Third Proportional to 7,514,405.75 and 16,412,311.13

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Solution

The third proportional to 7,514,405.75 and 16,412,311.13 is: 35,846,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514,405.75 : 16,412,311.13 = 16,412,311.13 : x
  2. Step 2: Convert to fraction form
    7,514,405.75/16,412,311.13 = 16,412,311.13/x
  3. Step 3: Cross multiply
    7,514,405.75x = 16,412,311.13 × 16,412,311.13
  4. Step 4: Simplify right side
    7,514,405.75x = 269,363,956,463,798.75
  5. Step 5: Solve for x
    x = 269,363,956,463,798.75/7,514,405.75
  6. Step 6: Final answer
    x = 35,846,341.72

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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.