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Finding the Third Proportional to 1,011,337,067,452 and 1,461,207,416,676

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Solution

The third proportional to 1,011,337,067,452 and 1,461,207,416,676 is: 2,111,192,384,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,067,452 : 1,461,207,416,676 = 1,461,207,416,676 : x
  2. Step 2: Convert to fraction form
    1,011,337,067,452/1,461,207,416,676 = 1,461,207,416,676/x
  3. Step 3: Cross multiply
    1,011,337,067,452x = 1,461,207,416,676 × 1,461,207,416,676
  4. Step 4: Simplify right side
    1,011,337,067,452x = 2,135,127,114,548,949,377,089,536
  5. Step 5: Solve for x
    x = 2,135,127,114,548,949,377,089,536/1,011,337,067,452
  6. Step 6: Final answer
    x = 2,111,192,384,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.