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Finding the Third Proportional to 32,823,886.50 and 75,981,357

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Solution

The third proportional to 32,823,886.50 and 75,981,357 is: 175,883,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,886.50 : 75,981,357 = 75,981,357 : x
  2. Step 2: Convert to fraction form
    32,823,886.50/75,981,357 = 75,981,357/x
  3. Step 3: Cross multiply
    32,823,886.50x = 75,981,357 × 75,981,357
  4. Step 4: Simplify right side
    32,823,886.50x = 5,773,166,611,561,449
  5. Step 5: Solve for x
    x = 5,773,166,611,561,449/32,823,886.50
  6. Step 6: Final answer
    x = 175,883,090.86

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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.