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Finding the Third Proportional to 12,216,980 and 24,125,584

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Solution

The third proportional to 12,216,980 and 24,125,584 is: 47,642,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216,980 : 24,125,584 = 24,125,584 : x
  2. Step 2: Convert to fraction form
    12,216,980/24,125,584 = 24,125,584/x
  3. Step 3: Cross multiply
    12,216,980x = 24,125,584 × 24,125,584
  4. Step 4: Simplify right side
    12,216,980x = 582,043,803,341,056
  5. Step 5: Solve for x
    x = 582,043,803,341,056/12,216,980
  6. Step 6: Final answer
    x = 47,642,199.90

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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.