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Finding the Third Proportional to 36,878,945,306 and 79,351,263,640

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Solution

The third proportional to 36,878,945,306 and 79,351,263,640 is: 170,737,611,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,945,306 : 79,351,263,640 = 79,351,263,640 : x
  2. Step 2: Convert to fraction form
    36,878,945,306/79,351,263,640 = 79,351,263,640/x
  3. Step 3: Cross multiply
    36,878,945,306x = 79,351,263,640 × 79,351,263,640
  4. Step 4: Simplify right side
    36,878,945,306x = 6,296,623,041,264,786,341,888
  5. Step 5: Solve for x
    x = 6,296,623,041,264,786,341,888/36,878,945,306
  6. Step 6: Final answer
    x = 170,737,611,637.73

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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.