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Finding the Third Proportional to 32,851,147.50 and 76,048,285.50

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Solution

The third proportional to 32,851,147.50 and 76,048,285.50 is: 176,046,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851,147.50 : 76,048,285.50 = 76,048,285.50 : x
  2. Step 2: Convert to fraction form
    32,851,147.50/76,048,285.50 = 76,048,285.50/x
  3. Step 3: Cross multiply
    32,851,147.50x = 76,048,285.50 × 76,048,285.50
  4. Step 4: Simplify right side
    32,851,147.50x = 5,783,341,727,489,510
  5. Step 5: Solve for x
    x = 5,783,341,727,489,510/32,851,147.50
  6. Step 6: Final answer
    x = 176,046,871.04

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.