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Finding the Third Proportional to 17,432,478 and 38,003,782.50

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Solution

The third proportional to 17,432,478 and 38,003,782.50 is: 82,850,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432,478 : 38,003,782.50 = 38,003,782.50 : x
  2. Step 2: Convert to fraction form
    17,432,478/38,003,782.50 = 38,003,782.50/x
  3. Step 3: Cross multiply
    17,432,478x = 38,003,782.50 × 38,003,782.50
  4. Step 4: Simplify right side
    17,432,478x = 1,444,287,484,307,306.25
  5. Step 5: Solve for x
    x = 1,444,287,484,307,306.25/17,432,478
  6. Step 6: Final answer
    x = 82,850,383.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.