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Finding the Third Proportional to 15,324,848 and 32,731,714

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Solution

The third proportional to 15,324,848 and 32,731,714 is: 69,910,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324,848 : 32,731,714 = 32,731,714 : x
  2. Step 2: Convert to fraction form
    15,324,848/32,731,714 = 32,731,714/x
  3. Step 3: Cross multiply
    15,324,848x = 32,731,714 × 32,731,714
  4. Step 4: Simplify right side
    15,324,848x = 1,071,365,101,377,796
  5. Step 5: Solve for x
    x = 1,071,365,101,377,796/15,324,848
  6. Step 6: Final answer
    x = 69,910,324.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.