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Finding the Third Proportional to 629,118,258 and 1,379,168,868

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Solution

The third proportional to 629,118,258 and 1,379,168,868 is: 3,023,448,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,118,258 : 1,379,168,868 = 1,379,168,868 : x
  2. Step 2: Convert to fraction form
    629,118,258/1,379,168,868 = 1,379,168,868/x
  3. Step 3: Cross multiply
    629,118,258x = 1,379,168,868 × 1,379,168,868
  4. Step 4: Simplify right side
    629,118,258x = 1,902,106,766,460,401,408
  5. Step 5: Solve for x
    x = 1,902,106,766,460,401,408/629,118,258
  6. Step 6: Final answer
    x = 3,023,448,679.60

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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.