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Finding the Third Proportional to 54,568,622.50 and 81,832,896.50

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Solution

The third proportional to 54,568,622.50 and 81,832,896.50 is: 122,719,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,568,622.50 : 81,832,896.50 = 81,832,896.50 : x
  2. Step 2: Convert to fraction form
    54,568,622.50/81,832,896.50 = 81,832,896.50/x
  3. Step 3: Cross multiply
    54,568,622.50x = 81,832,896.50 × 81,832,896.50
  4. Step 4: Simplify right side
    54,568,622.50x = 6,696,622,949,579,712
  5. Step 5: Solve for x
    x = 6,696,622,949,579,712/54,568,622.50
  6. Step 6: Final answer
    x = 122,719,296.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.