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Finding the Third Proportional to 32,824,224 and 75,982,230

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Solution

The third proportional to 32,824,224 and 75,982,230 is: 175,885,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824,224 : 75,982,230 = 75,982,230 : x
  2. Step 2: Convert to fraction form
    32,824,224/75,982,230 = 75,982,230/x
  3. Step 3: Cross multiply
    32,824,224x = 75,982,230 × 75,982,230
  4. Step 4: Simplify right side
    32,824,224x = 5,773,299,275,772,900
  5. Step 5: Solve for x
    x = 5,773,299,275,772,900/32,824,224
  6. Step 6: Final answer
    x = 175,885,324.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.