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Finding the Third Proportional to 5,523,290 and 11,814,232

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Solution

The third proportional to 5,523,290 and 11,814,232 is: 25,270,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523,290 : 11,814,232 = 11,814,232 : x
  2. Step 2: Convert to fraction form
    5,523,290/11,814,232 = 11,814,232/x
  3. Step 3: Cross multiply
    5,523,290x = 11,814,232 × 11,814,232
  4. Step 4: Simplify right side
    5,523,290x = 139,576,077,749,824
  5. Step 5: Solve for x
    x = 139,576,077,749,824/5,523,290
  6. Step 6: Final answer
    x = 25,270,459.77

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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.