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Finding the Third Proportional to 42,770,952.94 and 87,809,324.06

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Solution

The third proportional to 42,770,952.94 and 87,809,324.06 is: 180,273,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770,952.94 : 87,809,324.06 = 87,809,324.06 : x
  2. Step 2: Convert to fraction form
    42,770,952.94/87,809,324.06 = 87,809,324.06/x
  3. Step 3: Cross multiply
    42,770,952.94x = 87,809,324.06 × 87,809,324.06
  4. Step 4: Simplify right side
    42,770,952.94x = 7,710,477,392,313,142
  5. Step 5: Solve for x
    x = 7,710,477,392,313,142/42,770,952.94
  6. Step 6: Final answer
    x = 180,273,687.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.