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Finding the Third Proportional to 1,324,018,825 and 2,809,429,640

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Solution

The third proportional to 1,324,018,825 and 2,809,429,640 is: 5,961,316,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,018,825 : 2,809,429,640 = 2,809,429,640 : x
  2. Step 2: Convert to fraction form
    1,324,018,825/2,809,429,640 = 2,809,429,640/x
  3. Step 3: Cross multiply
    1,324,018,825x = 2,809,429,640 × 2,809,429,640
  4. Step 4: Simplify right side
    1,324,018,825x = 7,892,894,902,110,529,536
  5. Step 5: Solve for x
    x = 7,892,894,902,110,529,536/1,324,018,825
  6. Step 6: Final answer
    x = 5,961,316,223.82

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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.