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Finding the Third Proportional to 36,624,498,786 and 79,334,855,865

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Solution

The third proportional to 36,624,498,786 and 79,334,855,865 is: 171,852,709,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624,498,786 : 79,334,855,865 = 79,334,855,865 : x
  2. Step 2: Convert to fraction form
    36,624,498,786/79,334,855,865 = 79,334,855,865/x
  3. Step 3: Cross multiply
    36,624,498,786x = 79,334,855,865 × 79,334,855,865
  4. Step 4: Simplify right side
    36,624,498,786x = 6,294,019,355,120,324,575,232
  5. Step 5: Solve for x
    x = 6,294,019,355,120,324,575,232/36,624,498,786
  6. Step 6: Final answer
    x = 171,852,709,627.42

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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.