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Finding the Third Proportional to 77,110,574 and 102,802,629

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Solution

The third proportional to 77,110,574 and 102,802,629 is: 137,054,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110,574 : 102,802,629 = 102,802,629 : x
  2. Step 2: Convert to fraction form
    77,110,574/102,802,629 = 102,802,629/x
  3. Step 3: Cross multiply
    77,110,574x = 102,802,629 × 102,802,629
  4. Step 4: Simplify right side
    77,110,574x = 10,568,380,529,311,640
  5. Step 5: Solve for x
    x = 10,568,380,529,311,640/77,110,574
  6. Step 6: Final answer
    x = 137,054,880.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.