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Finding the Third Proportional to 539,765,631 and 829,290,236

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Solution

The third proportional to 539,765,631 and 829,290,236 is: 1,274,112,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,765,631 : 829,290,236 = 829,290,236 : x
  2. Step 2: Convert to fraction form
    539,765,631/829,290,236 = 829,290,236/x
  3. Step 3: Cross multiply
    539,765,631x = 829,290,236 × 829,290,236
  4. Step 4: Simplify right side
    539,765,631x = 687,722,295,524,935,680
  5. Step 5: Solve for x
    x = 687,722,295,524,935,680/539,765,631
  6. Step 6: Final answer
    x = 1,274,112,792.71

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Why These Related Problems?

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