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Finding the Third Proportional to 6,514,596 and 14,313,933

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Solution

The third proportional to 6,514,596 and 14,313,933 is: 31,450,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,596 : 14,313,933 = 14,313,933 : x
  2. Step 2: Convert to fraction form
    6,514,596/14,313,933 = 14,313,933/x
  3. Step 3: Cross multiply
    6,514,596x = 14,313,933 × 14,313,933
  4. Step 4: Simplify right side
    6,514,596x = 204,888,677,928,489
  5. Step 5: Solve for x
    x = 204,888,677,928,489/6,514,596
  6. Step 6: Final answer
    x = 31,450,711.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.