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Finding the Third Proportional to 415,454,474 and 899,850,838

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Solution

The third proportional to 415,454,474 and 899,850,838 is: 1,949,025,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454,474 : 899,850,838 = 899,850,838 : x
  2. Step 2: Convert to fraction form
    415,454,474/899,850,838 = 899,850,838/x
  3. Step 3: Cross multiply
    415,454,474x = 899,850,838 × 899,850,838
  4. Step 4: Simplify right side
    415,454,474x = 809,731,530,649,302,272
  5. Step 5: Solve for x
    x = 809,731,530,649,302,272/415,454,474
  6. Step 6: Final answer
    x = 1,949,025,901.33

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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.