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Finding the Third Proportional to 7,023,996 and 15,324,220

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Solution

The third proportional to 7,023,996 and 15,324,220 is: 33,432,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023,996 : 15,324,220 = 15,324,220 : x
  2. Step 2: Convert to fraction form
    7,023,996/15,324,220 = 15,324,220/x
  3. Step 3: Cross multiply
    7,023,996x = 15,324,220 × 15,324,220
  4. Step 4: Simplify right side
    7,023,996x = 234,831,718,608,400
  5. Step 5: Solve for x
    x = 234,831,718,608,400/7,023,996
  6. Step 6: Final answer
    x = 33,432,780.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.