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Finding the Third Proportional to 36,878,945,184 and 79,351,263,395

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Solution

The third proportional to 36,878,945,184 and 79,351,263,395 is: 170,737,611,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,945,184 : 79,351,263,395 = 79,351,263,395 : x
  2. Step 2: Convert to fraction form
    36,878,945,184/79,351,263,395 = 79,351,263,395/x
  3. Step 3: Cross multiply
    36,878,945,184x = 79,351,263,395 × 79,351,263,395
  4. Step 4: Simplify right side
    36,878,945,184x = 6,296,623,002,382,666,563,584
  5. Step 5: Solve for x
    x = 6,296,623,002,382,666,563,584/36,878,945,184
  6. Step 6: Final answer
    x = 170,737,611,148.23

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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.