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Finding the Third Proportional to 4,040,385.75 and 8,721,724.50

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Solution

The third proportional to 4,040,385.75 and 8,721,724.50 is: 18,827,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,385.75 : 8,721,724.50 = 8,721,724.50 : x
  2. Step 2: Convert to fraction form
    4,040,385.75/8,721,724.50 = 8,721,724.50/x
  3. Step 3: Cross multiply
    4,040,385.75x = 8,721,724.50 × 8,721,724.50
  4. Step 4: Simplify right side
    4,040,385.75x = 76,068,478,253,900.25
  5. Step 5: Solve for x
    x = 76,068,478,253,900.25/4,040,385.75
  6. Step 6: Final answer
    x = 18,827,033.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.