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Finding the Third Proportional to 5,523,309 and 11,814,255

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Solution

The third proportional to 5,523,309 and 11,814,255 is: 25,270,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523,309 : 11,814,255 = 11,814,255 : x
  2. Step 2: Convert to fraction form
    5,523,309/11,814,255 = 11,814,255/x
  3. Step 3: Cross multiply
    5,523,309x = 11,814,255 × 11,814,255
  4. Step 4: Simplify right side
    5,523,309x = 139,576,621,205,025
  5. Step 5: Solve for x
    x = 139,576,621,205,025/5,523,309
  6. Step 6: Final answer
    x = 25,270,471.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.