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Finding the Third Proportional to 247,520,542.50 and 524,546,982

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Solution

The third proportional to 247,520,542.50 and 524,546,982 is: 1,111,623,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,542.50 : 524,546,982 = 524,546,982 : x
  2. Step 2: Convert to fraction form
    247,520,542.50/524,546,982 = 524,546,982/x
  3. Step 3: Cross multiply
    247,520,542.50x = 524,546,982 × 524,546,982
  4. Step 4: Simplify right side
    247,520,542.50x = 275,149,536,325,308,320
  5. Step 5: Solve for x
    x = 275,149,536,325,308,320/247,520,542.50
  6. Step 6: Final answer
    x = 1,111,623,033.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.