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Finding the Third Proportional to 274,351,308 and 591,777,624

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Solution

The third proportional to 274,351,308 and 591,777,624 is: 1,276,468,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,351,308 : 591,777,624 = 591,777,624 : x
  2. Step 2: Convert to fraction form
    274,351,308/591,777,624 = 591,777,624/x
  3. Step 3: Cross multiply
    274,351,308x = 591,777,624 × 591,777,624
  4. Step 4: Simplify right side
    274,351,308x = 350,200,756,267,085,376
  5. Step 5: Solve for x
    x = 350,200,756,267,085,376/274,351,308
  6. Step 6: Final answer
    x = 1,276,468,331.13

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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.