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Finding the Third Proportional to 4,820,751,080,875 and 10,408,378,898,582

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Solution

The third proportional to 4,820,751,080,875 and 10,408,378,898,582 is: 22,472,504,694,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820,751,080,875 : 10,408,378,898,582 = 10,408,378,898,582 : x
  2. Step 2: Convert to fraction form
    4,820,751,080,875/10,408,378,898,582 = 10,408,378,898,582/x
  3. Step 3: Cross multiply
    4,820,751,080,875x = 10,408,378,898,582 × 10,408,378,898,582
  4. Step 4: Simplify right side
    4,820,751,080,875x = 108,334,351,296,447,048,509,816,832
  5. Step 5: Solve for x
    x = 108,334,351,296,447,048,509,816,832/4,820,751,080,875
  6. Step 6: Final answer
    x = 22,472,504,694,597.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.