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Finding the Third Proportional to 5,240,469 and 11,403,576

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Solution

The third proportional to 5,240,469 and 11,403,576 is: 24,814,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,469 : 11,403,576 = 11,403,576 : x
  2. Step 2: Convert to fraction form
    5,240,469/11,403,576 = 11,403,576/x
  3. Step 3: Cross multiply
    5,240,469x = 11,403,576 × 11,403,576
  4. Step 4: Simplify right side
    5,240,469x = 130,041,545,587,776
  5. Step 5: Solve for x
    x = 130,041,545,587,776/5,240,469
  6. Step 6: Final answer
    x = 24,814,867.83

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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.