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Finding the Third Proportional to 1,446,119,012 and 2,036,454,235.50

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Solution

The third proportional to 1,446,119,012 and 2,036,454,235.50 is: 2,867,776,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,119,012 : 2,036,454,235.50 = 2,036,454,235.50 : x
  2. Step 2: Convert to fraction form
    1,446,119,012/2,036,454,235.50 = 2,036,454,235.50/x
  3. Step 3: Cross multiply
    1,446,119,012x = 2,036,454,235.50 × 2,036,454,235.50
  4. Step 4: Simplify right side
    1,446,119,012x = 4,147,145,853,285,889,536
  5. Step 5: Solve for x
    x = 4,147,145,853,285,889,536/1,446,119,012
  6. Step 6: Final answer
    x = 2,867,776,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.