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Finding the Third Proportional to 414,535,826.25 and 886,467,280.50

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Solution

The third proportional to 414,535,826.25 and 886,467,280.50 is: 1,895,672,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535,826.25 : 886,467,280.50 = 886,467,280.50 : x
  2. Step 2: Convert to fraction form
    414,535,826.25/886,467,280.50 = 886,467,280.50/x
  3. Step 3: Cross multiply
    414,535,826.25x = 886,467,280.50 × 886,467,280.50
  4. Step 4: Simplify right side
    414,535,826.25x = 785,824,239,397,065,728
  5. Step 5: Solve for x
    x = 785,824,239,397,065,728/414,535,826.25
  6. Step 6: Final answer
    x = 1,895,672,676.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.