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Finding the Third Proportional to 1,383,253,074 and 2,987,364,465

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Solution

The third proportional to 1,383,253,074 and 2,987,364,465 is: 6,451,709,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,253,074 : 2,987,364,465 = 2,987,364,465 : x
  2. Step 2: Convert to fraction form
    1,383,253,074/2,987,364,465 = 2,987,364,465/x
  3. Step 3: Cross multiply
    1,383,253,074x = 2,987,364,465 × 2,987,364,465
  4. Step 4: Simplify right side
    1,383,253,074x = 8,924,346,446,744,735,744
  5. Step 5: Solve for x
    x = 8,924,346,446,744,735,744/1,383,253,074
  6. Step 6: Final answer
    x = 6,451,709,101.17

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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.