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Finding the Third Proportional to 340,716,395,331 and 735,833,577,366

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Solution

The third proportional to 340,716,395,331 and 735,833,577,366 is: 1,589,154,678,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716,395,331 : 735,833,577,366 = 735,833,577,366 : x
  2. Step 2: Convert to fraction form
    340,716,395,331/735,833,577,366 = 735,833,577,366/x
  3. Step 3: Cross multiply
    340,716,395,331x = 735,833,577,366 × 735,833,577,366
  4. Step 4: Simplify right side
    340,716,395,331x = 541,451,053,579,245,086,310,400
  5. Step 5: Solve for x
    x = 541,451,053,579,245,086,310,400/340,716,395,331
  6. Step 6: Final answer
    x = 1,589,154,678,198.67

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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.