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Finding the Third Proportional to 30,401,274,280 and 65,377,835,797

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Solution

The third proportional to 30,401,274,280 and 65,377,835,797 is: 140,594,811,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401,274,280 : 65,377,835,797 = 65,377,835,797 : x
  2. Step 2: Convert to fraction form
    30,401,274,280/65,377,835,797 = 65,377,835,797/x
  3. Step 3: Cross multiply
    30,401,274,280x = 65,377,835,797 × 65,377,835,797
  4. Step 4: Simplify right side
    30,401,274,280x = 4,274,261,413,499,494,727,680
  5. Step 5: Solve for x
    x = 4,274,261,413,499,494,727,680/30,401,274,280
  6. Step 6: Final answer
    x = 140,594,811,063.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.