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Finding the Third Proportional to 30,401,274,278 and 65,377,835,793

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Solution

The third proportional to 30,401,274,278 and 65,377,835,793 is: 140,594,811,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401,274,278 : 65,377,835,793 = 65,377,835,793 : x
  2. Step 2: Convert to fraction form
    30,401,274,278/65,377,835,793 = 65,377,835,793/x
  3. Step 3: Cross multiply
    30,401,274,278x = 65,377,835,793 × 65,377,835,793
  4. Step 4: Simplify right side
    30,401,274,278x = 4,274,261,412,976,471,834,624
  5. Step 5: Solve for x
    x = 4,274,261,412,976,471,834,624/30,401,274,278
  6. Step 6: Final answer
    x = 140,594,811,055.98

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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.