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Finding the Third Proportional to 55,081,515.50 and 83,330,696.50

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Solution

The third proportional to 55,081,515.50 and 83,330,696.50 is: 126,067,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,081,515.50 : 83,330,696.50 = 83,330,696.50 : x
  2. Step 2: Convert to fraction form
    55,081,515.50/83,330,696.50 = 83,330,696.50/x
  3. Step 3: Cross multiply
    55,081,515.50x = 83,330,696.50 × 83,330,696.50
  4. Step 4: Simplify right side
    55,081,515.50x = 6,944,004,979,175,112
  5. Step 5: Solve for x
    x = 6,944,004,979,175,112/55,081,515.50
  6. Step 6: Final answer
    x = 126,067,790.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.