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Finding the Third Proportional to 1,324,018,823 and 2,809,429,636

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Solution

The third proportional to 1,324,018,823 and 2,809,429,636 is: 5,961,316,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,018,823 : 2,809,429,636 = 2,809,429,636 : x
  2. Step 2: Convert to fraction form
    1,324,018,823/2,809,429,636 = 2,809,429,636/x
  3. Step 3: Cross multiply
    1,324,018,823x = 2,809,429,636 × 2,809,429,636
  4. Step 4: Simplify right side
    1,324,018,823x = 7,892,894,879,635,092,480
  5. Step 5: Solve for x
    x = 7,892,894,879,635,092,480/1,324,018,823
  6. Step 6: Final answer
    x = 5,961,316,215.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.