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Finding the Third Proportional to 669,114,454 and 1,449,434,690

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Solution

The third proportional to 669,114,454 and 1,449,434,690 is: 3,139,763,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,114,454 : 1,449,434,690 = 1,449,434,690 : x
  2. Step 2: Convert to fraction form
    669,114,454/1,449,434,690 = 1,449,434,690/x
  3. Step 3: Cross multiply
    669,114,454x = 1,449,434,690 × 1,449,434,690
  4. Step 4: Simplify right side
    669,114,454x = 2,100,860,920,575,396,096
  5. Step 5: Solve for x
    x = 2,100,860,920,575,396,096/669,114,454
  6. Step 6: Final answer
    x = 3,139,763,172.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.