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Finding the Third Proportional to 5,402,180 and 8,240,493

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Solution

The third proportional to 5,402,180 and 8,240,493 is: 12,570,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402,180 : 8,240,493 = 8,240,493 : x
  2. Step 2: Convert to fraction form
    5,402,180/8,240,493 = 8,240,493/x
  3. Step 3: Cross multiply
    5,402,180x = 8,240,493 × 8,240,493
  4. Step 4: Simplify right side
    5,402,180x = 67,905,724,883,049
  5. Step 5: Solve for x
    x = 67,905,724,883,049/5,402,180
  6. Step 6: Final answer
    x = 12,570,059.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.