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Finding the Third Proportional to 289,948,120,010 and 588,163,751,401

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Solution

The third proportional to 289,948,120,010 and 588,163,751,401 is: 1,193,098,263,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948,120,010 : 588,163,751,401 = 588,163,751,401 : x
  2. Step 2: Convert to fraction form
    289,948,120,010/588,163,751,401 = 588,163,751,401/x
  3. Step 3: Cross multiply
    289,948,120,010x = 588,163,751,401 × 588,163,751,401
  4. Step 4: Simplify right side
    289,948,120,010x = 345,936,598,462,097,361,207,296
  5. Step 5: Solve for x
    x = 345,936,598,462,097,361,207,296/289,948,120,010
  6. Step 6: Final answer
    x = 1,193,098,263,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.