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Finding the Third Proportional to 5,216,126 and 11,203,534

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Solution

The third proportional to 5,216,126 and 11,203,534 is: 24,063,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216,126 : 11,203,534 = 11,203,534 : x
  2. Step 2: Convert to fraction form
    5,216,126/11,203,534 = 11,203,534/x
  3. Step 3: Cross multiply
    5,216,126x = 11,203,534 × 11,203,534
  4. Step 4: Simplify right side
    5,216,126x = 125,519,174,089,156
  5. Step 5: Solve for x
    x = 125,519,174,089,156/5,216,126
  6. Step 6: Final answer
    x = 24,063,677.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.