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Finding the Third Proportional to 30,661,229.25 and 47,128,416.75

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Solution

The third proportional to 30,661,229.25 and 47,128,416.75 is: 72,439,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661,229.25 : 47,128,416.75 = 47,128,416.75 : x
  2. Step 2: Convert to fraction form
    30,661,229.25/47,128,416.75 = 47,128,416.75/x
  3. Step 3: Cross multiply
    30,661,229.25x = 47,128,416.75 × 47,128,416.75
  4. Step 4: Simplify right side
    30,661,229.25x = 2,221,087,665,361,680.50
  5. Step 5: Solve for x
    x = 2,221,087,665,361,680.50/30,661,229.25
  6. Step 6: Final answer
    x = 72,439,615.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.