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Finding the Third Proportional to 1,200,465,138 and 2,601,324,388

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Solution

The third proportional to 1,200,465,138 and 2,601,324,388 is: 5,636,888,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,465,138 : 2,601,324,388 = 2,601,324,388 : x
  2. Step 2: Convert to fraction form
    1,200,465,138/2,601,324,388 = 2,601,324,388/x
  3. Step 3: Cross multiply
    1,200,465,138x = 2,601,324,388 × 2,601,324,388
  4. Step 4: Simplify right side
    1,200,465,138x = 6,766,888,571,603,574,784
  5. Step 5: Solve for x
    x = 6,766,888,571,603,574,784/1,200,465,138
  6. Step 6: Final answer
    x = 5,636,888,866.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.