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Finding the Third Proportional to 1,203,012,435 and 1,914,229,234.50

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Solution

The third proportional to 1,203,012,435 and 1,914,229,234.50 is: 3,045,914,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,012,435 : 1,914,229,234.50 = 1,914,229,234.50 : x
  2. Step 2: Convert to fraction form
    1,203,012,435/1,914,229,234.50 = 1,914,229,234.50/x
  3. Step 3: Cross multiply
    1,203,012,435x = 1,914,229,234.50 × 1,914,229,234.50
  4. Step 4: Simplify right side
    1,203,012,435x = 3,664,273,562,214,455,808
  5. Step 5: Solve for x
    x = 3,664,273,562,214,455,808/1,203,012,435
  6. Step 6: Final answer
    x = 3,045,914,951.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.