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Finding the Third Proportional to 32,824,102.50 and 75,981,935.25

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Solution

The third proportional to 32,824,102.50 and 75,981,935.25 is: 175,884,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824,102.50 : 75,981,935.25 = 75,981,935.25 : x
  2. Step 2: Convert to fraction form
    32,824,102.50/75,981,935.25 = 75,981,935.25/x
  3. Step 3: Cross multiply
    32,824,102.50x = 75,981,935.25 × 75,981,935.25
  4. Step 4: Simplify right side
    32,824,102.50x = 5,773,254,484,335,193
  5. Step 5: Solve for x
    x = 5,773,254,484,335,193/32,824,102.50
  6. Step 6: Final answer
    x = 175,884,610.53

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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.