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Finding the Third Proportional to 34,947,928.50 and 54,703,542

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Solution

The third proportional to 34,947,928.50 and 54,703,542 is: 85,626,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,928.50 : 54,703,542 = 54,703,542 : x
  2. Step 2: Convert to fraction form
    34,947,928.50/54,703,542 = 54,703,542/x
  3. Step 3: Cross multiply
    34,947,928.50x = 54,703,542 × 54,703,542
  4. Step 4: Simplify right side
    34,947,928.50x = 2,992,477,507,345,764
  5. Step 5: Solve for x
    x = 2,992,477,507,345,764/34,947,928.50
  6. Step 6: Final answer
    x = 85,626,749.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.