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Finding the Third Proportional to 32,821,548 and 71,422,608

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Solution

The third proportional to 32,821,548 and 71,422,608 is: 155,421,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821,548 : 71,422,608 = 71,422,608 : x
  2. Step 2: Convert to fraction form
    32,821,548/71,422,608 = 71,422,608/x
  3. Step 3: Cross multiply
    32,821,548x = 71,422,608 × 71,422,608
  4. Step 4: Simplify right side
    32,821,548x = 5,101,188,933,521,664
  5. Step 5: Solve for x
    x = 5,101,188,933,521,664/32,821,548
  6. Step 6: Final answer
    x = 155,421,948.21

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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.