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Finding the Third Proportional to 7,023,998 and 15,324,224

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Solution

The third proportional to 7,023,998 and 15,324,224 is: 33,432,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023,998 : 15,324,224 = 15,324,224 : x
  2. Step 2: Convert to fraction form
    7,023,998/15,324,224 = 15,324,224/x
  3. Step 3: Cross multiply
    7,023,998x = 15,324,224 × 15,324,224
  4. Step 4: Simplify right side
    7,023,998x = 234,831,841,202,176
  5. Step 5: Solve for x
    x = 234,831,841,202,176/7,023,998
  6. Step 6: Final answer
    x = 33,432,788.73

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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.