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Finding the Third Proportional to 405,846,496.41 and 627,407,122.36

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Solution

The third proportional to 405,846,496.41 and 627,407,122.36 is: 969,922,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846,496.41 : 627,407,122.36 = 627,407,122.36 : x
  2. Step 2: Convert to fraction form
    405,846,496.41/627,407,122.36 = 627,407,122.36/x
  3. Step 3: Cross multiply
    405,846,496.41x = 627,407,122.36 × 627,407,122.36
  4. Step 4: Simplify right side
    405,846,496.41x = 393,639,697,187,278,016
  5. Step 5: Solve for x
    x = 393,639,697,187,278,016/405,846,496.41
  6. Step 6: Final answer
    x = 969,922,620.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.