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Finding the Third Proportional to 67,180,477,104 and 144,330,718,482

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Solution

The third proportional to 67,180,477,104 and 144,330,718,482 is: 310,080,505,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,180,477,104 : 144,330,718,482 = 144,330,718,482 : x
  2. Step 2: Convert to fraction form
    67,180,477,104/144,330,718,482 = 144,330,718,482/x
  3. Step 3: Cross multiply
    67,180,477,104x = 144,330,718,482 × 144,330,718,482
  4. Step 4: Simplify right side
    67,180,477,104x = 20,831,356,297,530,337,918,976
  5. Step 5: Solve for x
    x = 20,831,356,297,530,337,918,976/67,180,477,104
  6. Step 6: Final answer
    x = 310,080,505,461.16

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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.