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Finding the Third Proportional to 277,606,874 and 603,002,776

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Solution

The third proportional to 277,606,874 and 603,002,776 is: 1,309,810,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606,874 : 603,002,776 = 603,002,776 : x
  2. Step 2: Convert to fraction form
    277,606,874/603,002,776 = 603,002,776/x
  3. Step 3: Cross multiply
    277,606,874x = 603,002,776 × 603,002,776
  4. Step 4: Simplify right side
    277,606,874x = 363,612,347,863,706,176
  5. Step 5: Solve for x
    x = 363,612,347,863,706,176/277,606,874
  6. Step 6: Final answer
    x = 1,309,810,317.82

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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.