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Finding the Third Proportional to 277,606,872 and 603,002,772

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Solution

The third proportional to 277,606,872 and 603,002,772 is: 1,309,810,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606,872 : 603,002,772 = 603,002,772 : x
  2. Step 2: Convert to fraction form
    277,606,872/603,002,772 = 603,002,772/x
  3. Step 3: Cross multiply
    277,606,872x = 603,002,772 × 603,002,772
  4. Step 4: Simplify right side
    277,606,872x = 363,612,343,039,683,968
  5. Step 5: Solve for x
    x = 363,612,343,039,683,968/277,606,872
  6. Step 6: Final answer
    x = 1,309,810,309.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.