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Finding the Third Proportional to 629,118,256 and 1,379,168,864

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Solution

The third proportional to 629,118,256 and 1,379,168,864 is: 3,023,448,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,118,256 : 1,379,168,864 = 1,379,168,864 : x
  2. Step 2: Convert to fraction form
    629,118,256/1,379,168,864 = 1,379,168,864/x
  3. Step 3: Cross multiply
    629,118,256x = 1,379,168,864 × 1,379,168,864
  4. Step 4: Simplify right side
    629,118,256x = 1,902,106,755,427,050,496
  5. Step 5: Solve for x
    x = 1,902,106,755,427,050,496/629,118,256
  6. Step 6: Final answer
    x = 3,023,448,671.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.