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Finding the Third Proportional to 3,380,298,354 and 7,225,794,610

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Solution

The third proportional to 3,380,298,354 and 7,225,794,610 is: 15,446,005,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380,298,354 : 7,225,794,610 = 7,225,794,610 : x
  2. Step 2: Convert to fraction form
    3,380,298,354/7,225,794,610 = 7,225,794,610/x
  3. Step 3: Cross multiply
    3,380,298,354x = 7,225,794,610 × 7,225,794,610
  4. Step 4: Simplify right side
    3,380,298,354x = 52,212,107,745,905,049,600
  5. Step 5: Solve for x
    x = 52,212,107,745,905,049,600/3,380,298,354
  6. Step 6: Final answer
    x = 15,446,005,730.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.