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Finding the Third Proportional to 12,216,978 and 24,125,580

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Solution

The third proportional to 12,216,978 and 24,125,580 is: 47,642,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216,978 : 24,125,580 = 24,125,580 : x
  2. Step 2: Convert to fraction form
    12,216,978/24,125,580 = 24,125,580/x
  3. Step 3: Cross multiply
    12,216,978x = 24,125,580 × 24,125,580
  4. Step 4: Simplify right side
    12,216,978x = 582,043,610,336,400
  5. Step 5: Solve for x
    x = 582,043,610,336,400/12,216,978
  6. Step 6: Final answer
    x = 47,642,191.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.