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Finding the Third Proportional to 247,520,427.75 and 524,546,766

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Solution

The third proportional to 247,520,427.75 and 524,546,766 is: 1,111,622,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,427.75 : 524,546,766 = 524,546,766 : x
  2. Step 2: Convert to fraction form
    247,520,427.75/524,546,766 = 524,546,766/x
  3. Step 3: Cross multiply
    247,520,427.75x = 524,546,766 × 524,546,766
  4. Step 4: Simplify right side
    247,520,427.75x = 275,149,309,721,058,752
  5. Step 5: Solve for x
    x = 275,149,309,721,058,752/247,520,427.75
  6. Step 6: Final answer
    x = 1,111,622,633.42

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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.